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Finding the Fourth Proportional to 224,560.16, 309,891.12 and 123,956

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Solution

The fourth proportional to 224,560.16, 309,891.12 and 123,956 is: 171,058.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,560.16 : 309,891.12 = 123,956 : x
  2. Step 2: Convert to fraction form
    224,560.16/309,891.12 = 123,956/x
  3. Step 3: Cross multiply
    224,560.16x = 309,891.12 × 123,956
  4. Step 4: Simplify right side
    224,560.16x = 38,412,863,670.72
  5. Step 5: Solve for x
    x = 38,412,863,670.72/224,560.16
  6. Step 6: Final answer
    x = 171,058.23

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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.