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Finding the Fourth Proportional to 138,850.80, 191,613.15 and 75,187.14

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Solution

The fourth proportional to 138,850.80, 191,613.15 and 75,187.14 is: 103,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,850.80 : 191,613.15 = 75,187.14 : x
  2. Step 2: Convert to fraction form
    138,850.80/191,613.15 = 75,187.14/x
  3. Step 3: Cross multiply
    138,850.80x = 191,613.15 × 75,187.14
  4. Step 4: Simplify right side
    138,850.80x = 14,406,844,734.89
  5. Step 5: Solve for x
    x = 14,406,844,734.89/138,850.80
  6. Step 6: Final answer
    x = 103,757.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.