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Finding the Fourth Proportional to 123,861.88, 171,000.30 and 81,543.46

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Solution

The fourth proportional to 123,861.88, 171,000.30 and 81,543.46 is: 112,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,861.88 : 171,000.30 = 81,543.46 : x
  2. Step 2: Convert to fraction form
    123,861.88/171,000.30 = 81,543.46/x
  3. Step 3: Cross multiply
    123,861.88x = 171,000.30 × 81,543.46
  4. Step 4: Simplify right side
    123,861.88x = 13,943,956,123.04
  5. Step 5: Solve for x
    x = 13,943,956,123.04/123,861.88
  6. Step 6: Final answer
    x = 112,576.65

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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.