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Finding the Fourth Proportional to 57,740.20, 86,648.70 and 32,780.20

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Solution

The fourth proportional to 57,740.20, 86,648.70 and 32,780.20 is: 49,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,740.20 : 86,648.70 = 32,780.20 : x
  2. Step 2: Convert to fraction form
    57,740.20/86,648.70 = 32,780.20/x
  3. Step 3: Cross multiply
    57,740.20x = 86,648.70 × 32,780.20
  4. Step 4: Simplify right side
    57,740.20x = 2,840,361,715.74
  5. Step 5: Solve for x
    x = 2,840,361,715.74/57,740.20
  6. Step 6: Final answer
    x = 49,192.10

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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.