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Finding the Fourth Proportional to 266,687.09, 400,092.59 and 77,139.80

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Solution

The fourth proportional to 266,687.09, 400,092.59 and 77,139.80 is: 115,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,687.09 : 400,092.59 = 77,139.80 : x
  2. Step 2: Convert to fraction form
    266,687.09/400,092.59 = 77,139.80/x
  3. Step 3: Cross multiply
    266,687.09x = 400,092.59 × 77,139.80
  4. Step 4: Simplify right side
    266,687.09x = 30,863,060,566.47
  5. Step 5: Solve for x
    x = 30,863,060,566.47/266,687.09
  6. Step 6: Final answer
    x = 115,727.62

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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.