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Finding the Fourth Proportional to 266,649.87, 399,996.09 and 89,157.81

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Solution

The fourth proportional to 266,649.87, 399,996.09 and 89,157.81 is: 133,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,649.87 : 399,996.09 = 89,157.81 : x
  2. Step 2: Convert to fraction form
    266,649.87/399,996.09 = 89,157.81/x
  3. Step 3: Cross multiply
    266,649.87x = 399,996.09 × 89,157.81
  4. Step 4: Simplify right side
    266,649.87x = 35,662,775,392.96
  5. Step 5: Solve for x
    x = 35,662,775,392.96/266,649.87
  6. Step 6: Final answer
    x = 133,743.83

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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.