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Finding the Fourth Proportional to 138,156.96, 206,964.26 and 71,640.57

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Solution

The fourth proportional to 138,156.96, 206,964.26 and 71,640.57 is: 107,320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,156.96 : 206,964.26 = 71,640.57 : x
  2. Step 2: Convert to fraction form
    138,156.96/206,964.26 = 71,640.57/x
  3. Step 3: Cross multiply
    138,156.96x = 206,964.26 × 71,640.57
  4. Step 4: Simplify right side
    138,156.96x = 14,827,037,197.83
  5. Step 5: Solve for x
    x = 14,827,037,197.83/138,156.96
  6. Step 6: Final answer
    x = 107,320.23

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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.