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Finding the Fourth Proportional to 266,006.38, 399,005.61 and 123,772

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Solution

The fourth proportional to 266,006.38, 399,005.61 and 123,772 is: 185,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,006.38 : 399,005.61 = 123,772 : x
  2. Step 2: Convert to fraction form
    266,006.38/399,005.61 = 123,772/x
  3. Step 3: Cross multiply
    266,006.38x = 399,005.61 × 123,772
  4. Step 4: Simplify right side
    266,006.38x = 49,385,722,360.92
  5. Step 5: Solve for x
    x = 49,385,722,360.92/266,006.38
  6. Step 6: Final answer
    x = 185,656.16

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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.