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Finding the Fourth Proportional to 137,998.50, 206,821.14 and 71,426.22

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Solution

The fourth proportional to 137,998.50, 206,821.14 and 71,426.22 is: 107,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,998.50 : 206,821.14 = 71,426.22 : x
  2. Step 2: Convert to fraction form
    137,998.50/206,821.14 = 71,426.22/x
  3. Step 3: Cross multiply
    137,998.50x = 206,821.14 × 71,426.22
  4. Step 4: Simplify right side
    137,998.50x = 14,772,452,246.29
  5. Step 5: Solve for x
    x = 14,772,452,246.29/137,998.50
  6. Step 6: Final answer
    x = 107,047.92

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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.