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Finding the Fourth Proportional to 82,687.20, 123,739.20 and 56,443.20

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Solution

The fourth proportional to 82,687.20, 123,739.20 and 56,443.20 is: 84,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,687.20 : 123,739.20 = 56,443.20 : x
  2. Step 2: Convert to fraction form
    82,687.20/123,739.20 = 56,443.20/x
  3. Step 3: Cross multiply
    82,687.20x = 123,739.20 × 56,443.20
  4. Step 4: Simplify right side
    82,687.20x = 6,984,236,413.44
  5. Step 5: Solve for x
    x = 6,984,236,413.44/82,687.20
  6. Step 6: Final answer
    x = 84,465.75

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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.