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Finding the Fourth Proportional to 123,790, 170,829.78 and 67,200.97

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Solution

The fourth proportional to 123,790, 170,829.78 and 67,200.97 is: 92,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,790 : 170,829.78 = 67,200.97 : x
  2. Step 2: Convert to fraction form
    123,790/170,829.78 = 67,200.97/x
  3. Step 3: Cross multiply
    123,790x = 170,829.78 × 67,200.97
  4. Step 4: Simplify right side
    123,790x = 11,479,926,920.89
  5. Step 5: Solve for x
    x = 11,479,926,920.89/123,790
  6. Step 6: Final answer
    x = 92,737.11

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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.