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Finding the Fourth Proportional to 138,659.40, 207,989.10 and 129,911.40

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Solution

The fourth proportional to 138,659.40, 207,989.10 and 129,911.40 is: 194,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,659.40 : 207,989.10 = 129,911.40 : x
  2. Step 2: Convert to fraction form
    138,659.40/207,989.10 = 129,911.40/x
  3. Step 3: Cross multiply
    138,659.40x = 207,989.10 × 129,911.40
  4. Step 4: Simplify right side
    138,659.40x = 27,020,155,165.74
  5. Step 5: Solve for x
    x = 27,020,155,165.74/138,659.40
  6. Step 6: Final answer
    x = 194,867.10

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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.