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Finding the Fourth Proportional to 234,568.50, 323,705.10 and 127,138.42

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Solution

The fourth proportional to 234,568.50, 323,705.10 and 127,138.42 is: 175,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,568.50 : 323,705.10 = 127,138.42 : x
  2. Step 2: Convert to fraction form
    234,568.50/323,705.10 = 127,138.42/x
  3. Step 3: Cross multiply
    234,568.50x = 323,705.10 × 127,138.42
  4. Step 4: Simplify right side
    234,568.50x = 41,155,355,126.19
  5. Step 5: Solve for x
    x = 41,155,355,126.19/234,568.50
  6. Step 6: Final answer
    x = 175,451.33

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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.