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Finding the Fourth Proportional to 82,605.40, 123,821.70 and 45,107.80

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Solution

The fourth proportional to 82,605.40, 123,821.70 and 45,107.80 is: 67,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,605.40 : 123,821.70 = 45,107.80 : x
  2. Step 2: Convert to fraction form
    82,605.40/123,821.70 = 45,107.80/x
  3. Step 3: Cross multiply
    82,605.40x = 123,821.70 × 45,107.80
  4. Step 4: Simplify right side
    82,605.40x = 5,585,324,479.26
  5. Step 5: Solve for x
    x = 5,585,324,479.26/82,605.40
  6. Step 6: Final answer
    x = 67,614.52

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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.