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Finding the Fourth Proportional to 123,497.30, 170,363.57 and 78,098.82

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Solution

The fourth proportional to 123,497.30, 170,363.57 and 78,098.82 is: 107,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,497.30 : 170,363.57 = 78,098.82 : x
  2. Step 2: Convert to fraction form
    123,497.30/170,363.57 = 78,098.82/x
  3. Step 3: Cross multiply
    123,497.30x = 170,363.57 × 78,098.82
  4. Step 4: Simplify right side
    123,497.30x = 13,305,193,787.99
  5. Step 5: Solve for x
    x = 13,305,193,787.99/123,497.30
  6. Step 6: Final answer
    x = 107,736.72

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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.