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Finding the Fourth Proportional to 123,876.98, 170,977.46 and 81,439.46

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Solution

The fourth proportional to 123,876.98, 170,977.46 and 81,439.46 is: 112,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,876.98 : 170,977.46 = 81,439.46 : x
  2. Step 2: Convert to fraction form
    123,876.98/170,977.46 = 81,439.46/x
  3. Step 3: Cross multiply
    123,876.98x = 170,977.46 × 81,439.46
  4. Step 4: Simplify right side
    123,876.98x = 13,924,312,014.57
  5. Step 5: Solve for x
    x = 13,924,312,014.57/123,876.98
  6. Step 6: Final answer
    x = 112,404.35

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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.