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Finding the Fourth Proportional to 252,405.20, 378,525.91 and 83,880.24

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Solution

The fourth proportional to 252,405.20, 378,525.91 and 83,880.24 is: 125,793.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,405.20 : 378,525.91 = 83,880.24 : x
  2. Step 2: Convert to fraction form
    252,405.20/378,525.91 = 83,880.24/x
  3. Step 3: Cross multiply
    252,405.20x = 378,525.91 × 83,880.24
  4. Step 4: Simplify right side
    252,405.20x = 31,750,844,177.02
  5. Step 5: Solve for x
    x = 31,750,844,177.02/252,405.20
  6. Step 6: Final answer
    x = 125,793.15

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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.