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Finding the Fourth Proportional to 122,068, 168,439.66 and 71,091.87

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Solution

The fourth proportional to 122,068, 168,439.66 and 71,091.87 is: 98,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,068 : 168,439.66 = 71,091.87 : x
  2. Step 2: Convert to fraction form
    122,068/168,439.66 = 71,091.87/x
  3. Step 3: Cross multiply
    122,068x = 168,439.66 × 71,091.87
  4. Step 4: Simplify right side
    122,068x = 11,974,690,411.56
  5. Step 5: Solve for x
    x = 11,974,690,411.56/122,068
  6. Step 6: Final answer
    x = 98,098.52

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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.