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Finding the Fourth Proportional to 123,462.78, 170,379.29 and 66,874.16

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Solution

The fourth proportional to 123,462.78, 170,379.29 and 66,874.16 is: 92,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,462.78 : 170,379.29 = 66,874.16 : x
  2. Step 2: Convert to fraction form
    123,462.78/170,379.29 = 66,874.16/x
  3. Step 3: Cross multiply
    123,462.78x = 170,379.29 × 66,874.16
  4. Step 4: Simplify right side
    123,462.78x = 11,393,971,215.44
  5. Step 5: Solve for x
    x = 11,393,971,215.44/123,462.78
  6. Step 6: Final answer
    x = 92,286.69

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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.