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Finding the Fourth Proportional to 224,508.72, 309,821.40 and 123,906

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Solution

The fourth proportional to 224,508.72, 309,821.40 and 123,906 is: 170,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,508.72 : 309,821.40 = 123,906 : x
  2. Step 2: Convert to fraction form
    224,508.72/309,821.40 = 123,906/x
  3. Step 3: Cross multiply
    224,508.72x = 309,821.40 × 123,906
  4. Step 4: Simplify right side
    224,508.72x = 38,388,730,388.40
  5. Step 5: Solve for x
    x = 38,388,730,388.40/224,508.72
  6. Step 6: Final answer
    x = 170,989.93

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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.