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Finding the Fourth Proportional to 123,680, 170,678.49 and 67,091.60

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Solution

The fourth proportional to 123,680, 170,678.49 and 67,091.60 is: 92,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,680 : 170,678.49 = 67,091.60 : x
  2. Step 2: Convert to fraction form
    123,680/170,678.49 = 67,091.60/x
  3. Step 3: Cross multiply
    123,680x = 170,678.49 × 67,091.60
  4. Step 4: Simplify right side
    123,680x = 11,451,092,979.68
  5. Step 5: Solve for x
    x = 11,451,092,979.68/123,680
  6. Step 6: Final answer
    x = 92,586.46

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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.