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Finding the Fourth Proportional to 123,729.86, 170,747.64 and 67,141.23

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Solution

The fourth proportional to 123,729.86, 170,747.64 and 67,141.23 is: 92,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,729.86 : 170,747.64 = 67,141.23 : x
  2. Step 2: Convert to fraction form
    123,729.86/170,747.64 = 67,141.23/x
  3. Step 3: Cross multiply
    123,729.86x = 170,747.64 × 67,141.23
  4. Step 4: Simplify right side
    123,729.86x = 11,464,206,569.20
  5. Step 5: Solve for x
    x = 11,464,206,569.20/123,729.86
  6. Step 6: Final answer
    x = 92,655.14

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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.