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Finding the Fourth Proportional to 224,505.72, 309,817.26 and 123,903

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Solution

The fourth proportional to 224,505.72, 309,817.26 and 123,903 is: 170,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,505.72 : 309,817.26 = 123,903 : x
  2. Step 2: Convert to fraction form
    224,505.72/309,817.26 = 123,903/x
  3. Step 3: Cross multiply
    224,505.72x = 309,817.26 × 123,903
  4. Step 4: Simplify right side
    224,505.72x = 38,387,287,965.78
  5. Step 5: Solve for x
    x = 38,387,287,965.78/224,505.72
  6. Step 6: Final answer
    x = 170,985.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.