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Finding the Fourth Proportional to 71,156.20, 106,739.71 and 21,232.40

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Solution

The fourth proportional to 71,156.20, 106,739.71 and 21,232.40 is: 31,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,156.20 : 106,739.71 = 21,232.40 : x
  2. Step 2: Convert to fraction form
    71,156.20/106,739.71 = 21,232.40/x
  3. Step 3: Cross multiply
    71,156.20x = 106,739.71 × 21,232.40
  4. Step 4: Simplify right side
    71,156.20x = 2,266,340,218.60
  5. Step 5: Solve for x
    x = 2,266,340,218.60/71,156.20
  6. Step 6: Final answer
    x = 31,850.21

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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.