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Finding the Fourth Proportional to 266,814.66, 400,126.28 and 77,235.78

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Solution

The fourth proportional to 266,814.66, 400,126.28 and 77,235.78 is: 115,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,814.66 : 400,126.28 = 77,235.78 : x
  2. Step 2: Convert to fraction form
    266,814.66/400,126.28 = 77,235.78/x
  3. Step 3: Cross multiply
    266,814.66x = 400,126.28 × 77,235.78
  4. Step 4: Simplify right side
    266,814.66x = 30,904,064,632.33
  5. Step 5: Solve for x
    x = 30,904,064,632.33/266,814.66
  6. Step 6: Final answer
    x = 115,825.96

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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.