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Finding the Fourth Proportional to 71,738.70, 107,559.45 and 38,010.30

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Solution

The fourth proportional to 71,738.70, 107,559.45 and 38,010.30 is: 56,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738.70 : 107,559.45 = 38,010.30 : x
  2. Step 2: Convert to fraction form
    71,738.70/107,559.45 = 38,010.30/x
  3. Step 3: Cross multiply
    71,738.70x = 107,559.45 × 38,010.30
  4. Step 4: Simplify right side
    71,738.70x = 4,088,366,962.34
  5. Step 5: Solve for x
    x = 4,088,366,962.34/71,738.70
  6. Step 6: Final answer
    x = 56,989.70

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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.