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Finding the Fourth Proportional to 82,788.80, 124,183.20 and 74,235.20

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Solution

The fourth proportional to 82,788.80, 124,183.20 and 74,235.20 is: 111,352.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,788.80 : 124,183.20 = 74,235.20 : x
  2. Step 2: Convert to fraction form
    82,788.80/124,183.20 = 74,235.20/x
  3. Step 3: Cross multiply
    82,788.80x = 124,183.20 × 74,235.20
  4. Step 4: Simplify right side
    82,788.80x = 9,218,764,688.64
  5. Step 5: Solve for x
    x = 9,218,764,688.64/82,788.80
  6. Step 6: Final answer
    x = 111,352.80

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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.