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Finding the Fourth Proportional to 137,892.96, 206,884 and 67,723.06

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Solution

The fourth proportional to 137,892.96, 206,884 and 67,723.06 is: 101,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,892.96 : 206,884 = 67,723.06 : x
  2. Step 2: Convert to fraction form
    137,892.96/206,884 = 67,723.06/x
  3. Step 3: Cross multiply
    137,892.96x = 206,884 × 67,723.06
  4. Step 4: Simplify right side
    137,892.96x = 14,010,817,545.04
  5. Step 5: Solve for x
    x = 14,010,817,545.04/137,892.96
  6. Step 6: Final answer
    x = 101,606.47

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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.