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Finding the Fourth Proportional to 266,166.76, 399,313.08 and 86,251.90

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Solution

The fourth proportional to 266,166.76, 399,313.08 and 86,251.90 is: 129,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,166.76 : 399,313.08 = 86,251.90 : x
  2. Step 2: Convert to fraction form
    266,166.76/399,313.08 = 86,251.90/x
  3. Step 3: Cross multiply
    266,166.76x = 399,313.08 × 86,251.90
  4. Step 4: Simplify right side
    266,166.76x = 34,441,511,844.85
  5. Step 5: Solve for x
    x = 34,441,511,844.85/266,166.76
  6. Step 6: Final answer
    x = 129,398.25

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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.