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Finding the Fourth Proportional to 57,781.60, 86,701.20 and 32,840.80

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Solution

The fourth proportional to 57,781.60, 86,701.20 and 32,840.80 is: 49,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.60 : 86,701.20 = 32,840.80 : x
  2. Step 2: Convert to fraction form
    57,781.60/86,701.20 = 32,840.80/x
  3. Step 3: Cross multiply
    57,781.60x = 86,701.20 × 32,840.80
  4. Step 4: Simplify right side
    57,781.60x = 2,847,336,768.96
  5. Step 5: Solve for x
    x = 2,847,336,768.96/57,781.60
  6. Step 6: Final answer
    x = 49,277.57

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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.