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Finding the Fourth Proportional to 123,414.15, 185,128.40 and 34,674.57

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Solution

The fourth proportional to 123,414.15, 185,128.40 and 34,674.57 is: 52,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,414.15 : 185,128.40 = 34,674.57 : x
  2. Step 2: Convert to fraction form
    123,414.15/185,128.40 = 34,674.57/x
  3. Step 3: Cross multiply
    123,414.15x = 185,128.40 × 34,674.57
  4. Step 4: Simplify right side
    123,414.15x = 6,419,247,664.79
  5. Step 5: Solve for x
    x = 6,419,247,664.79/123,414.15
  6. Step 6: Final answer
    x = 52,013.87

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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.