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Finding the Fourth Proportional to 159,494.28, 220,102.32 and 86,896.80

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Solution

The fourth proportional to 159,494.28, 220,102.32 and 86,896.80 is: 119,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,494.28 : 220,102.32 = 86,896.80 : x
  2. Step 2: Convert to fraction form
    159,494.28/220,102.32 = 86,896.80/x
  3. Step 3: Cross multiply
    159,494.28x = 220,102.32 × 86,896.80
  4. Step 4: Simplify right side
    159,494.28x = 19,126,187,280.58
  5. Step 5: Solve for x
    x = 19,126,187,280.58/159,494.28
  6. Step 6: Final answer
    x = 119,917.70

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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.