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Finding the Fourth Proportional to 142,718.97, 213,737.41 and 79,381.77

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Solution

The fourth proportional to 142,718.97, 213,737.41 and 79,381.77 is: 118,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,718.97 : 213,737.41 = 79,381.77 : x
  2. Step 2: Convert to fraction form
    142,718.97/213,737.41 = 79,381.77/x
  3. Step 3: Cross multiply
    142,718.97x = 213,737.41 × 79,381.77
  4. Step 4: Simplify right side
    142,718.97x = 16,966,853,921.02
  5. Step 5: Solve for x
    x = 16,966,853,921.02/142,718.97
  6. Step 6: Final answer
    x = 118,882.96

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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.