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Finding the Fourth Proportional to 82,083.87, 123,135.88 and 28,057.49

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Solution

The fourth proportional to 82,083.87, 123,135.88 and 28,057.49 is: 42,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,083.87 : 123,135.88 = 28,057.49 : x
  2. Step 2: Convert to fraction form
    82,083.87/123,135.88 = 28,057.49/x
  3. Step 3: Cross multiply
    82,083.87x = 123,135.88 × 28,057.49
  4. Step 4: Simplify right side
    82,083.87x = 3,454,883,721.74
  5. Step 5: Solve for x
    x = 3,454,883,721.74/82,083.87
  6. Step 6: Final answer
    x = 42,089.68

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1.5x scale

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.