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Finding the Fourth Proportional to 70,109.47, 96,746.57 and 38,278.29

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Solution

The fourth proportional to 70,109.47, 96,746.57 and 38,278.29 is: 52,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,109.47 : 96,746.57 = 38,278.29 : x
  2. Step 2: Convert to fraction form
    70,109.47/96,746.57 = 38,278.29/x
  3. Step 3: Cross multiply
    70,109.47x = 96,746.57 × 38,278.29
  4. Step 4: Simplify right side
    70,109.47x = 3,703,293,577.92
  5. Step 5: Solve for x
    x = 3,703,293,577.92/70,109.47
  6. Step 6: Final answer
    x = 52,821.59

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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.