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Finding the Fourth Proportional to 266,500.22, 399,777.21 and 86,578.16

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Solution

The fourth proportional to 266,500.22, 399,777.21 and 86,578.16 is: 129,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,500.22 : 399,777.21 = 86,578.16 : x
  2. Step 2: Convert to fraction form
    266,500.22/399,777.21 = 86,578.16/x
  3. Step 3: Cross multiply
    266,500.22x = 399,777.21 × 86,578.16
  4. Step 4: Simplify right side
    266,500.22x = 34,611,975,251.73
  5. Step 5: Solve for x
    x = 34,611,975,251.73/266,500.22
  6. Step 6: Final answer
    x = 129,875.97

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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.