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Finding the Fourth Proportional to 138,609.80, 207,914.70 and 75,624.20

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Solution

The fourth proportional to 138,609.80, 207,914.70 and 75,624.20 is: 113,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,609.80 : 207,914.70 = 75,624.20 : x
  2. Step 2: Convert to fraction form
    138,609.80/207,914.70 = 75,624.20/x
  3. Step 3: Cross multiply
    138,609.80x = 207,914.70 × 75,624.20
  4. Step 4: Simplify right side
    138,609.80x = 15,723,382,855.74
  5. Step 5: Solve for x
    x = 15,723,382,855.74/138,609.80
  6. Step 6: Final answer
    x = 113,436.30

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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.