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Finding the Fourth Proportional to 71,378.60, 106,938.30 and 43,644.20

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Solution

The fourth proportional to 71,378.60, 106,938.30 and 43,644.20 is: 65,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378.60 : 106,938.30 = 43,644.20 : x
  2. Step 2: Convert to fraction form
    71,378.60/106,938.30 = 43,644.20/x
  3. Step 3: Cross multiply
    71,378.60x = 106,938.30 × 43,644.20
  4. Step 4: Simplify right side
    71,378.60x = 4,667,236,552.86
  5. Step 5: Solve for x
    x = 4,667,236,552.86/71,378.60
  6. Step 6: Final answer
    x = 65,387.06

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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.