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Finding the Fourth Proportional to 123,098.20, 169,876.65 and 69,378.46

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Solution

The fourth proportional to 123,098.20, 169,876.65 and 69,378.46 is: 95,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,098.20 : 169,876.65 = 69,378.46 : x
  2. Step 2: Convert to fraction form
    123,098.20/169,876.65 = 69,378.46/x
  3. Step 3: Cross multiply
    123,098.20x = 169,876.65 × 69,378.46
  4. Step 4: Simplify right side
    123,098.20x = 11,785,780,366.96
  5. Step 5: Solve for x
    x = 11,785,780,366.96/123,098.20
  6. Step 6: Final answer
    x = 95,742.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.