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Finding the Fourth Proportional to 81,800, 122,728.80 and 40,276.16

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Solution

The fourth proportional to 81,800, 122,728.80 and 40,276.16 is: 60,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,800 : 122,728.80 = 40,276.16 : x
  2. Step 2: Convert to fraction form
    81,800/122,728.80 = 40,276.16/x
  3. Step 3: Cross multiply
    81,800x = 122,728.80 × 40,276.16
  4. Step 4: Simplify right side
    81,800x = 4,943,044,785.41
  5. Step 5: Solve for x
    x = 4,943,044,785.41/81,800
  6. Step 6: Final answer
    x = 60,428.42

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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.