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Finding the Fourth Proportional to 135,959.40, 204,068.82 and 83,471.40

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Solution

The fourth proportional to 135,959.40, 204,068.82 and 83,471.40 is: 125,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,959.40 : 204,068.82 = 83,471.40 : x
  2. Step 2: Convert to fraction form
    135,959.40/204,068.82 = 83,471.40/x
  3. Step 3: Cross multiply
    135,959.40x = 204,068.82 × 83,471.40
  4. Step 4: Simplify right side
    135,959.40x = 17,033,910,101.75
  5. Step 5: Solve for x
    x = 17,033,910,101.75/135,959.40
  6. Step 6: Final answer
    x = 125,286.74

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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.