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Finding the Fourth Proportional to 98,414.15, 135,876.90 and 75,713.09

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Solution

The fourth proportional to 98,414.15, 135,876.90 and 75,713.09 is: 104,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,414.15 : 135,876.90 = 75,713.09 : x
  2. Step 2: Convert to fraction form
    98,414.15/135,876.90 = 75,713.09/x
  3. Step 3: Cross multiply
    98,414.15x = 135,876.90 × 75,713.09
  4. Step 4: Simplify right side
    98,414.15x = 10,287,659,958.62
  5. Step 5: Solve for x
    x = 10,287,659,958.62/98,414.15
  6. Step 6: Final answer
    x = 104,534.36

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1.5x scale

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.