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Finding the Fourth Proportional to 71,731.67, 107,551.34 and 34,290.90

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Solution

The fourth proportional to 71,731.67, 107,551.34 and 34,290.90 is: 51,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,731.67 : 107,551.34 = 34,290.90 : x
  2. Step 2: Convert to fraction form
    71,731.67/107,551.34 = 34,290.90/x
  3. Step 3: Cross multiply
    71,731.67x = 107,551.34 × 34,290.90
  4. Step 4: Simplify right side
    71,731.67x = 3,688,032,073.35
  5. Step 5: Solve for x
    x = 3,688,032,073.35/71,731.67
  6. Step 6: Final answer
    x = 51,414.28

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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.