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Finding the Fourth Proportional to 138,492.72, 207,665.24 and 71,865.77

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Solution

The fourth proportional to 138,492.72, 207,665.24 and 71,865.77 is: 107,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,492.72 : 207,665.24 = 71,865.77 : x
  2. Step 2: Convert to fraction form
    138,492.72/207,665.24 = 71,865.77/x
  3. Step 3: Cross multiply
    138,492.72x = 207,665.24 × 71,865.77
  4. Step 4: Simplify right side
    138,492.72x = 14,924,020,977.18
  5. Step 5: Solve for x
    x = 14,924,020,977.18/138,492.72
  6. Step 6: Final answer
    x = 107,760.33

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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.