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Finding the Fourth Proportional to 57,694.80, 86,542.20 and 31,450.80

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Solution

The fourth proportional to 57,694.80, 86,542.20 and 31,450.80 is: 47,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,694.80 : 86,542.20 = 31,450.80 : x
  2. Step 2: Convert to fraction form
    57,694.80/86,542.20 = 31,450.80/x
  3. Step 3: Cross multiply
    57,694.80x = 86,542.20 × 31,450.80
  4. Step 4: Simplify right side
    57,694.80x = 2,721,821,423.76
  5. Step 5: Solve for x
    x = 2,721,821,423.76/57,694.80
  6. Step 6: Final answer
    x = 47,176.20

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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.