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Finding the Fourth Proportional to 80,274.48, 120,372 and 47,002.92

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Solution

The fourth proportional to 80,274.48, 120,372 and 47,002.92 is: 70,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,274.48 : 120,372 = 47,002.92 : x
  2. Step 2: Convert to fraction form
    80,274.48/120,372 = 47,002.92/x
  3. Step 3: Cross multiply
    80,274.48x = 120,372 × 47,002.92
  4. Step 4: Simplify right side
    80,274.48x = 5,657,835,486.24
  5. Step 5: Solve for x
    x = 5,657,835,486.24/80,274.48
  6. Step 6: Final answer
    x = 70,481.12

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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.