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Finding the Fourth Proportional to 71,985.20, 107,929.20 and 38,256.80

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Solution

The fourth proportional to 71,985.20, 107,929.20 and 38,256.80 is: 57,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,985.20 : 107,929.20 = 38,256.80 : x
  2. Step 2: Convert to fraction form
    71,985.20/107,929.20 = 38,256.80/x
  3. Step 3: Cross multiply
    71,985.20x = 107,929.20 × 38,256.80
  4. Step 4: Simplify right side
    71,985.20x = 4,129,025,818.56
  5. Step 5: Solve for x
    x = 4,129,025,818.56/71,985.20
  6. Step 6: Final answer
    x = 57,359.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.