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Finding the Fourth Proportional to 138,496.10, 207,670.30 and 71,869.14

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Solution

The fourth proportional to 138,496.10, 207,670.30 and 71,869.14 is: 107,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496.10 : 207,670.30 = 71,869.14 : x
  2. Step 2: Convert to fraction form
    138,496.10/207,670.30 = 71,869.14/x
  3. Step 3: Cross multiply
    138,496.10x = 207,670.30 × 71,869.14
  4. Step 4: Simplify right side
    138,496.10x = 14,925,085,684.87
  5. Step 5: Solve for x
    x = 14,925,085,684.87/138,496.10
  6. Step 6: Final answer
    x = 107,765.39

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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.