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Finding the Fourth Proportional to 100,198.72, 137,959.50 and 85,060

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Solution

The fourth proportional to 100,198.72, 137,959.50 and 85,060 is: 117,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,198.72 : 137,959.50 = 85,060 : x
  2. Step 2: Convert to fraction form
    100,198.72/137,959.50 = 85,060/x
  3. Step 3: Cross multiply
    100,198.72x = 137,959.50 × 85,060
  4. Step 4: Simplify right side
    100,198.72x = 11,734,835,070
  5. Step 5: Solve for x
    x = 11,734,835,070/100,198.72
  6. Step 6: Final answer
    x = 117,115.62

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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.