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Finding the Fourth Proportional to 32,708.60, 49,135.80 and 31,380.20

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Solution

The fourth proportional to 32,708.60, 49,135.80 and 31,380.20 is: 47,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708.60 : 49,135.80 = 31,380.20 : x
  2. Step 2: Convert to fraction form
    32,708.60/49,135.80 = 31,380.20/x
  3. Step 3: Cross multiply
    32,708.60x = 49,135.80 × 31,380.20
  4. Step 4: Simplify right side
    32,708.60x = 1,541,891,231.16
  5. Step 5: Solve for x
    x = 1,541,891,231.16/32,708.60
  6. Step 6: Final answer
    x = 47,140.24

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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.