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Finding the Fourth Proportional to 82,380.80, 123,571.20 and 23,218.40

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Solution

The fourth proportional to 82,380.80, 123,571.20 and 23,218.40 is: 34,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,380.80 : 123,571.20 = 23,218.40 : x
  2. Step 2: Convert to fraction form
    82,380.80/123,571.20 = 23,218.40/x
  3. Step 3: Cross multiply
    82,380.80x = 123,571.20 × 23,218.40
  4. Step 4: Simplify right side
    82,380.80x = 2,869,125,550.08
  5. Step 5: Solve for x
    x = 2,869,125,550.08/82,380.80
  6. Step 6: Final answer
    x = 34,827.60

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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.