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Finding the Fourth Proportional to 138,294.32, 207,454.32 and 107,164.40

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Solution

The fourth proportional to 138,294.32, 207,454.32 and 107,164.40 is: 160,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,294.32 : 207,454.32 = 107,164.40 : x
  2. Step 2: Convert to fraction form
    138,294.32/207,454.32 = 107,164.40/x
  3. Step 3: Cross multiply
    138,294.32x = 207,454.32 × 107,164.40
  4. Step 4: Simplify right side
    138,294.32x = 22,231,717,730.21
  5. Step 5: Solve for x
    x = 22,231,717,730.21/138,294.32
  6. Step 6: Final answer
    x = 160,756.55

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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.