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Finding the Fourth Proportional to 71,229.17, 106,804.31 and 29,138.82

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Solution

The fourth proportional to 71,229.17, 106,804.31 and 29,138.82 is: 43,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,229.17 : 106,804.31 = 29,138.82 : x
  2. Step 2: Convert to fraction form
    71,229.17/106,804.31 = 29,138.82/x
  3. Step 3: Cross multiply
    71,229.17x = 106,804.31 × 29,138.82
  4. Step 4: Simplify right side
    71,229.17x = 3,112,151,564.31
  5. Step 5: Solve for x
    x = 3,112,151,564.31/71,229.17
  6. Step 6: Final answer
    x = 43,692.10

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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.