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Finding the Fourth Proportional to 47,122.80, 65,059.92 and 31,228.80

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Solution

The fourth proportional to 47,122.80, 65,059.92 and 31,228.80 is: 43,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,122.80 : 65,059.92 = 31,228.80 : x
  2. Step 2: Convert to fraction form
    47,122.80/65,059.92 = 31,228.80/x
  3. Step 3: Cross multiply
    47,122.80x = 65,059.92 × 31,228.80
  4. Step 4: Simplify right side
    47,122.80x = 2,031,743,229.70
  5. Step 5: Solve for x
    x = 2,031,743,229.70/47,122.80
  6. Step 6: Final answer
    x = 43,115.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.