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Finding the Fourth Proportional to 70,103.76, 96,743.52 and 38,272.80

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Solution

The fourth proportional to 70,103.76, 96,743.52 and 38,272.80 is: 52,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,103.76 : 96,743.52 = 38,272.80 : x
  2. Step 2: Convert to fraction form
    70,103.76/96,743.52 = 38,272.80/x
  3. Step 3: Cross multiply
    70,103.76x = 96,743.52 × 38,272.80
  4. Step 4: Simplify right side
    70,103.76x = 3,702,645,392.26
  5. Step 5: Solve for x
    x = 3,702,645,392.26/70,103.76
  6. Step 6: Final answer
    x = 52,816.64

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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.