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Finding the Fourth Proportional to 83,012, 124,517.58 and 38,614.28

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Solution

The fourth proportional to 83,012, 124,517.58 and 38,614.28 is: 57,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,012 : 124,517.58 = 38,614.28 : x
  2. Step 2: Convert to fraction form
    83,012/124,517.58 = 38,614.28/x
  3. Step 3: Cross multiply
    83,012x = 124,517.58 × 38,614.28
  4. Step 4: Simplify right side
    83,012x = 4,808,156,699.04
  5. Step 5: Solve for x
    x = 4,808,156,699.04/83,012
  6. Step 6: Final answer
    x = 57,921.22

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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.