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Finding the Fourth Proportional to 159,288.32, 238,934.31 and 54,115.49

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Solution

The fourth proportional to 159,288.32, 238,934.31 and 54,115.49 is: 81,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,288.32 : 238,934.31 = 54,115.49 : x
  2. Step 2: Convert to fraction form
    159,288.32/238,934.31 = 54,115.49/x
  3. Step 3: Cross multiply
    159,288.32x = 238,934.31 × 54,115.49
  4. Step 4: Simplify right side
    159,288.32x = 12,930,047,657.86
  5. Step 5: Solve for x
    x = 12,930,047,657.86/159,288.32
  6. Step 6: Final answer
    x = 81,173.86

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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.