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Finding the Fourth Proportional to 82,821.20, 124,085.40 and 80,080.40

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Solution

The fourth proportional to 82,821.20, 124,085.40 and 80,080.40 is: 119,979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,821.20 : 124,085.40 = 80,080.40 : x
  2. Step 2: Convert to fraction form
    82,821.20/124,085.40 = 80,080.40/x
  3. Step 3: Cross multiply
    82,821.20x = 124,085.40 × 80,080.40
  4. Step 4: Simplify right side
    82,821.20x = 9,936,808,466.16
  5. Step 5: Solve for x
    x = 9,936,808,466.16/82,821.20
  6. Step 6: Final answer
    x = 119,979.04

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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.