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Finding the Fourth Proportional to 239,878.04, 359,818.89 and 82,107.86

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Solution

The fourth proportional to 239,878.04, 359,818.89 and 82,107.86 is: 123,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,878.04 : 359,818.89 = 82,107.86 : x
  2. Step 2: Convert to fraction form
    239,878.04/359,818.89 = 82,107.86/x
  3. Step 3: Cross multiply
    239,878.04x = 359,818.89 × 82,107.86
  4. Step 4: Simplify right side
    239,878.04x = 29,543,957,246.38
  5. Step 5: Solve for x
    x = 29,543,957,246.38/239,878.04
  6. Step 6: Final answer
    x = 123,162.41

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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.