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Finding the Fourth Proportional to 71,933.20, 107,802.16 and 38,190.70

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Solution

The fourth proportional to 71,933.20, 107,802.16 and 38,190.70 is: 57,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,933.20 : 107,802.16 = 38,190.70 : x
  2. Step 2: Convert to fraction form
    71,933.20/107,802.16 = 38,190.70/x
  3. Step 3: Cross multiply
    71,933.20x = 107,802.16 × 38,190.70
  4. Step 4: Simplify right side
    71,933.20x = 4,117,039,951.91
  5. Step 5: Solve for x
    x = 4,117,039,951.91/71,933.20
  6. Step 6: Final answer
    x = 57,234.21

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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.