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Finding the Fourth Proportional to 71,228.54, 106,803.37 and 29,138.19

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Solution

The fourth proportional to 71,228.54, 106,803.37 and 29,138.19 is: 43,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,228.54 : 106,803.37 = 29,138.19 : x
  2. Step 2: Convert to fraction form
    71,228.54/106,803.37 = 29,138.19/x
  3. Step 3: Cross multiply
    71,228.54x = 106,803.37 × 29,138.19
  4. Step 4: Simplify right side
    71,228.54x = 3,112,056,887.70
  5. Step 5: Solve for x
    x = 3,112,056,887.70/71,228.54
  6. Step 6: Final answer
    x = 43,691.15

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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.