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Finding the Fourth Proportional to 32,152.80, 48,229.20 and 8,781.60

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Solution

The fourth proportional to 32,152.80, 48,229.20 and 8,781.60 is: 13,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.80 : 48,229.20 = 8,781.60 : x
  2. Step 2: Convert to fraction form
    32,152.80/48,229.20 = 8,781.60/x
  3. Step 3: Cross multiply
    32,152.80x = 48,229.20 × 8,781.60
  4. Step 4: Simplify right side
    32,152.80x = 423,529,542.72
  5. Step 5: Solve for x
    x = 423,529,542.72/32,152.80
  6. Step 6: Final answer
    x = 13,172.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.