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Finding the Fourth Proportional to 159,869.44, 239,808 and 54,687.68

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Solution

The fourth proportional to 159,869.44, 239,808 and 54,687.68 is: 82,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,869.44 : 239,808 = 54,687.68 : x
  2. Step 2: Convert to fraction form
    159,869.44/239,808 = 54,687.68/x
  3. Step 3: Cross multiply
    159,869.44x = 239,808 × 54,687.68
  4. Step 4: Simplify right side
    159,869.44x = 13,114,543,165.44
  5. Step 5: Solve for x
    x = 13,114,543,165.44/159,869.44
  6. Step 6: Final answer
    x = 82,032.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.