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Finding the Fourth Proportional to 318,072.40, 477,108.29 and 81,414.70

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Solution

The fourth proportional to 318,072.40, 477,108.29 and 81,414.70 is: 122,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,072.40 : 477,108.29 = 81,414.70 : x
  2. Step 2: Convert to fraction form
    318,072.40/477,108.29 = 81,414.70/x
  3. Step 3: Cross multiply
    318,072.40x = 477,108.29 × 81,414.70
  4. Step 4: Simplify right side
    318,072.40x = 38,843,627,308.63
  5. Step 5: Solve for x
    x = 38,843,627,308.63/318,072.40
  6. Step 6: Final answer
    x = 122,121.97

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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.