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Finding the Fourth Proportional to 159,731.86, 239,394.24 and 84,887.86

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Solution

The fourth proportional to 159,731.86, 239,394.24 and 84,887.86 is: 127,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,731.86 : 239,394.24 = 84,887.86 : x
  2. Step 2: Convert to fraction form
    159,731.86/239,394.24 = 84,887.86/x
  3. Step 3: Cross multiply
    159,731.86x = 239,394.24 × 84,887.86
  4. Step 4: Simplify right side
    159,731.86x = 20,321,664,729.93
  5. Step 5: Solve for x
    x = 20,321,664,729.93/159,731.86
  6. Step 6: Final answer
    x = 127,223.62

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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.