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Finding the Fourth Proportional to 73,140.20, 109,713.90 and 38,148.20

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Solution

The fourth proportional to 73,140.20, 109,713.90 and 38,148.20 is: 57,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,140.20 : 109,713.90 = 38,148.20 : x
  2. Step 2: Convert to fraction form
    73,140.20/109,713.90 = 38,148.20/x
  3. Step 3: Cross multiply
    73,140.20x = 109,713.90 × 38,148.20
  4. Step 4: Simplify right side
    73,140.20x = 4,185,387,799.98
  5. Step 5: Solve for x
    x = 4,185,387,799.98/73,140.20
  6. Step 6: Final answer
    x = 57,224.18

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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.