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Finding the Fourth Proportional to 123,581.80, 170,606.10 and 78,306.76

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Solution

The fourth proportional to 123,581.80, 170,606.10 and 78,306.76 is: 108,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,581.80 : 170,606.10 = 78,306.76 : x
  2. Step 2: Convert to fraction form
    123,581.80/170,606.10 = 78,306.76/x
  3. Step 3: Cross multiply
    123,581.80x = 170,606.10 × 78,306.76
  4. Step 4: Simplify right side
    123,581.80x = 13,359,610,927.24
  5. Step 5: Solve for x
    x = 13,359,610,927.24/123,581.80
  6. Step 6: Final answer
    x = 108,103.39

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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.