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Finding the Fourth Proportional to 277,123.52, 415,685.50 and 66,761.66

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Solution

The fourth proportional to 277,123.52, 415,685.50 and 66,761.66 is: 100,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,123.52 : 415,685.50 = 66,761.66 : x
  2. Step 2: Convert to fraction form
    277,123.52/415,685.50 = 66,761.66/x
  3. Step 3: Cross multiply
    277,123.52x = 415,685.50 × 66,761.66
  4. Step 4: Simplify right side
    277,123.52x = 27,751,854,890.24
  5. Step 5: Solve for x
    x = 27,751,854,890.24/277,123.52
  6. Step 6: Final answer
    x = 100,142.55

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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.