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Finding the Fourth Proportional to 138,157.96, 206,965.75 and 71,641.57

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Solution

The fourth proportional to 138,157.96, 206,965.75 and 71,641.57 is: 107,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,157.96 : 206,965.75 = 71,641.57 : x
  2. Step 2: Convert to fraction form
    138,157.96/206,965.75 = 71,641.57/x
  3. Step 3: Cross multiply
    138,157.96x = 206,965.75 × 71,641.57
  4. Step 4: Simplify right side
    138,157.96x = 14,827,351,266.23
  5. Step 5: Solve for x
    x = 14,827,351,266.23/138,157.96
  6. Step 6: Final answer
    x = 107,321.73

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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.