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Finding the Fourth Proportional to 123,342.66, 185,087.80 and 53,221.97

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Solution

The fourth proportional to 123,342.66, 185,087.80 and 53,221.97 is: 79,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,342.66 : 185,087.80 = 53,221.97 : x
  2. Step 2: Convert to fraction form
    123,342.66/185,087.80 = 53,221.97/x
  3. Step 3: Cross multiply
    123,342.66x = 185,087.80 × 53,221.97
  4. Step 4: Simplify right side
    123,342.66x = 9,850,737,072.86
  5. Step 5: Solve for x
    x = 9,850,737,072.86/123,342.66
  6. Step 6: Final answer
    x = 79,864.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.