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Finding the Fourth Proportional to 137,967.73, 206,838.72 and 71,426.86

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Solution

The fourth proportional to 137,967.73, 206,838.72 and 71,426.86 is: 107,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,967.73 : 206,838.72 = 71,426.86 : x
  2. Step 2: Convert to fraction form
    137,967.73/206,838.72 = 71,426.86/x
  3. Step 3: Cross multiply
    137,967.73x = 206,838.72 × 71,426.86
  4. Step 4: Simplify right side
    137,967.73x = 14,773,840,296.02
  5. Step 5: Solve for x
    x = 14,773,840,296.02/137,967.73
  6. Step 6: Final answer
    x = 107,081.85

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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.