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Finding the Fourth Proportional to 71,152.95, 106,734.83 and 21,229.14

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Solution

The fourth proportional to 71,152.95, 106,734.83 and 21,229.14 is: 31,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,152.95 : 106,734.83 = 21,229.14 : x
  2. Step 2: Convert to fraction form
    71,152.95/106,734.83 = 21,229.14/x
  3. Step 3: Cross multiply
    71,152.95x = 106,734.83 × 21,229.14
  4. Step 4: Simplify right side
    71,152.95x = 2,265,888,542.80
  5. Step 5: Solve for x
    x = 2,265,888,542.80/71,152.95
  6. Step 6: Final answer
    x = 31,845.32

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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.