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Finding the Fourth Proportional to 123,874, 170,949.24 and 67,285.36

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Solution

The fourth proportional to 123,874, 170,949.24 and 67,285.36 is: 92,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,874 : 170,949.24 = 67,285.36 : x
  2. Step 2: Convert to fraction form
    123,874/170,949.24 = 67,285.36/x
  3. Step 3: Cross multiply
    123,874x = 170,949.24 × 67,285.36
  4. Step 4: Simplify right side
    123,874x = 11,502,381,155.13
  5. Step 5: Solve for x
    x = 11,502,381,155.13/123,874
  6. Step 6: Final answer
    x = 92,855.49

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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.