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Finding the Fourth Proportional to 129,658.64, 194,564.49 and 54,773.93

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Solution

The fourth proportional to 129,658.64, 194,564.49 and 54,773.93 is: 82,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,658.64 : 194,564.49 = 54,773.93 : x
  2. Step 2: Convert to fraction form
    129,658.64/194,564.49 = 54,773.93/x
  3. Step 3: Cross multiply
    129,658.64x = 194,564.49 × 54,773.93
  4. Step 4: Simplify right side
    129,658.64x = 10,657,061,755.75
  5. Step 5: Solve for x
    x = 10,657,061,755.75/129,658.64
  6. Step 6: Final answer
    x = 82,193.22

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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.