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Finding the Fourth Proportional to 70,385.20, 97,131.92 and 38,554

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Solution

The fourth proportional to 70,385.20, 97,131.92 and 38,554 is: 53,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,385.20 : 97,131.92 = 38,554 : x
  2. Step 2: Convert to fraction form
    70,385.20/97,131.92 = 38,554/x
  3. Step 3: Cross multiply
    70,385.20x = 97,131.92 × 38,554
  4. Step 4: Simplify right side
    70,385.20x = 3,744,824,043.68
  5. Step 5: Solve for x
    x = 3,744,824,043.68/70,385.20
  6. Step 6: Final answer
    x = 53,204.71

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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.