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Finding the Fourth Proportional to 138,872.86, 191,644.36 and 75,210.91

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Solution

The fourth proportional to 138,872.86, 191,644.36 and 75,210.91 is: 103,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,872.86 : 191,644.36 = 75,210.91 : x
  2. Step 2: Convert to fraction form
    138,872.86/191,644.36 = 75,210.91/x
  3. Step 3: Cross multiply
    138,872.86x = 191,644.36 × 75,210.91
  4. Step 4: Simplify right side
    138,872.86x = 14,413,746,711.97
  5. Step 5: Solve for x
    x = 14,413,746,711.97/138,872.86
  6. Step 6: Final answer
    x = 103,790.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.