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Finding the Fourth Proportional to 55,213.20, 82,819.80 and 31,820.40

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Solution

The fourth proportional to 55,213.20, 82,819.80 and 31,820.40 is: 47,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,213.20 : 82,819.80 = 31,820.40 : x
  2. Step 2: Convert to fraction form
    55,213.20/82,819.80 = 31,820.40/x
  3. Step 3: Cross multiply
    55,213.20x = 82,819.80 × 31,820.40
  4. Step 4: Simplify right side
    55,213.20x = 2,635,359,163.92
  5. Step 5: Solve for x
    x = 2,635,359,163.92/55,213.20
  6. Step 6: Final answer
    x = 47,730.60

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1.5x scale

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.