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Finding the Fourth Proportional to 129,692.43, 194,369.13 and 66,458.97

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Solution

The fourth proportional to 129,692.43, 194,369.13 and 66,458.97 is: 99,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,692.43 : 194,369.13 = 66,458.97 : x
  2. Step 2: Convert to fraction form
    129,692.43/194,369.13 = 66,458.97/x
  3. Step 3: Cross multiply
    129,692.43x = 194,369.13 × 66,458.97
  4. Step 4: Simplify right side
    129,692.43x = 12,917,572,179.60
  5. Step 5: Solve for x
    x = 12,917,572,179.60/129,692.43
  6. Step 6: Final answer
    x = 99,601.59

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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.