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Finding the Fourth Proportional to 266,189.64, 399,341.87 and 76,648.73

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Solution

The fourth proportional to 266,189.64, 399,341.87 and 76,648.73 is: 114,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,189.64 : 399,341.87 = 76,648.73 : x
  2. Step 2: Convert to fraction form
    266,189.64/399,341.87 = 76,648.73/x
  3. Step 3: Cross multiply
    266,189.64x = 399,341.87 × 76,648.73
  4. Step 4: Simplify right side
    266,189.64x = 30,609,046,576.34
  5. Step 5: Solve for x
    x = 30,609,046,576.34/266,189.64
  6. Step 6: Final answer
    x = 114,989.62

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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.