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Finding the Fourth Proportional to 81,872.40, 122,808.60 and 72,195.60

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Solution

The fourth proportional to 81,872.40, 122,808.60 and 72,195.60 is: 108,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,872.40 : 122,808.60 = 72,195.60 : x
  2. Step 2: Convert to fraction form
    81,872.40/122,808.60 = 72,195.60/x
  3. Step 3: Cross multiply
    81,872.40x = 122,808.60 × 72,195.60
  4. Step 4: Simplify right side
    81,872.40x = 8,866,240,562.16
  5. Step 5: Solve for x
    x = 8,866,240,562.16/81,872.40
  6. Step 6: Final answer
    x = 108,293.40

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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.