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Finding the Fourth Proportional to 83,400, 125,080.32 and 27,225.60

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Solution

The fourth proportional to 83,400, 125,080.32 and 27,225.60 is: 40,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,400 : 125,080.32 = 27,225.60 : x
  2. Step 2: Convert to fraction form
    83,400/125,080.32 = 27,225.60/x
  3. Step 3: Cross multiply
    83,400x = 125,080.32 × 27,225.60
  4. Step 4: Simplify right side
    83,400x = 3,405,386,760.19
  5. Step 5: Solve for x
    x = 3,405,386,760.19/83,400
  6. Step 6: Final answer
    x = 40,831.98

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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.