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Finding the Fourth Proportional to 138,158.96, 206,967.25 and 71,642.57

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Solution

The fourth proportional to 138,158.96, 206,967.25 and 71,642.57 is: 107,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,158.96 : 206,967.25 = 71,642.57 : x
  2. Step 2: Convert to fraction form
    138,158.96/206,967.25 = 71,642.57/x
  3. Step 3: Cross multiply
    138,158.96x = 206,967.25 × 71,642.57
  4. Step 4: Simplify right side
    138,158.96x = 14,827,665,695.83
  5. Step 5: Solve for x
    x = 14,827,665,695.83/138,158.96
  6. Step 6: Final answer
    x = 107,323.23

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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.