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Finding the Fourth Proportional to 266,461.77, 399,755.31 and 86,546.55

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Solution

The fourth proportional to 266,461.77, 399,755.31 and 86,546.55 is: 129,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,461.77 : 399,755.31 = 86,546.55 : x
  2. Step 2: Convert to fraction form
    266,461.77/399,755.31 = 86,546.55/x
  3. Step 3: Cross multiply
    266,461.77x = 399,755.31 × 86,546.55
  4. Step 4: Simplify right side
    266,461.77x = 34,597,442,924.68
  5. Step 5: Solve for x
    x = 34,597,442,924.68/266,461.77
  6. Step 6: Final answer
    x = 129,840.18

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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.