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Finding the Fourth Proportional to 70,105.92, 96,748 and 38,277.76

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Solution

The fourth proportional to 70,105.92, 96,748 and 38,277.76 is: 52,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.92 : 96,748 = 38,277.76 : x
  2. Step 2: Convert to fraction form
    70,105.92/96,748 = 38,277.76/x
  3. Step 3: Cross multiply
    70,105.92x = 96,748 × 38,277.76
  4. Step 4: Simplify right side
    70,105.92x = 3,703,296,724.48
  5. Step 5: Solve for x
    x = 3,703,296,724.48/70,105.92
  6. Step 6: Final answer
    x = 52,824.31

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.