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Finding the Fourth Proportional to 101,691, 140,333.62 and 61,947

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Solution

The fourth proportional to 101,691, 140,333.62 and 61,947 is: 85,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,691 : 140,333.62 = 61,947 : x
  2. Step 2: Convert to fraction form
    101,691/140,333.62 = 61,947/x
  3. Step 3: Cross multiply
    101,691x = 140,333.62 × 61,947
  4. Step 4: Simplify right side
    101,691x = 8,693,246,758.14
  5. Step 5: Solve for x
    x = 8,693,246,758.14/101,691
  6. Step 6: Final answer
    x = 85,486.88

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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.