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Finding the Fourth Proportional to 86,301.94, 129,458.49 and 27,139.90

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Solution

The fourth proportional to 86,301.94, 129,458.49 and 27,139.90 is: 40,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,301.94 : 129,458.49 = 27,139.90 : x
  2. Step 2: Convert to fraction form
    86,301.94/129,458.49 = 27,139.90/x
  3. Step 3: Cross multiply
    86,301.94x = 129,458.49 × 27,139.90
  4. Step 4: Simplify right side
    86,301.94x = 3,513,490,472.75
  5. Step 5: Solve for x
    x = 3,513,490,472.75/86,301.94
  6. Step 6: Final answer
    x = 40,711.60

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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.