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Finding the Fourth Proportional to 32,902.80, 49,354.20 and 20,218.20

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Solution

The fourth proportional to 32,902.80, 49,354.20 and 20,218.20 is: 30,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.80 : 49,354.20 = 20,218.20 : x
  2. Step 2: Convert to fraction form
    32,902.80/49,354.20 = 20,218.20/x
  3. Step 3: Cross multiply
    32,902.80x = 49,354.20 × 20,218.20
  4. Step 4: Simplify right side
    32,902.80x = 997,853,086.44
  5. Step 5: Solve for x
    x = 997,853,086.44/32,902.80
  6. Step 6: Final answer
    x = 30,327.30

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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.