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Finding the Fourth Proportional to 71,697.60, 107,560.77 and 40,152.54

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Solution

The fourth proportional to 71,697.60, 107,560.77 and 40,152.54 is: 60,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,697.60 : 107,560.77 = 40,152.54 : x
  2. Step 2: Convert to fraction form
    71,697.60/107,560.77 = 40,152.54/x
  3. Step 3: Cross multiply
    71,697.60x = 107,560.77 × 40,152.54
  4. Step 4: Simplify right side
    71,697.60x = 4,318,838,119.86
  5. Step 5: Solve for x
    x = 4,318,838,119.86/71,697.60
  6. Step 6: Final answer
    x = 60,236.86

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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.