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Finding the Fourth Proportional to 123,861.91, 171,000.26 and 81,543.46

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Solution

The fourth proportional to 123,861.91, 171,000.26 and 81,543.46 is: 112,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,861.91 : 171,000.26 = 81,543.46 : x
  2. Step 2: Convert to fraction form
    123,861.91/171,000.26 = 81,543.46/x
  3. Step 3: Cross multiply
    123,861.91x = 171,000.26 × 81,543.46
  4. Step 4: Simplify right side
    123,861.91x = 13,943,952,453.58
  5. Step 5: Solve for x
    x = 13,943,952,453.58/123,861.91
  6. Step 6: Final answer
    x = 112,576.60

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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.