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Finding the Fourth Proportional to 82,381.20, 123,571.80 and 49,138.80

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Solution

The fourth proportional to 82,381.20, 123,571.80 and 49,138.80 is: 73,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,381.20 : 123,571.80 = 49,138.80 : x
  2. Step 2: Convert to fraction form
    82,381.20/123,571.80 = 49,138.80/x
  3. Step 3: Cross multiply
    82,381.20x = 123,571.80 × 49,138.80
  4. Step 4: Simplify right side
    82,381.20x = 6,072,169,965.84
  5. Step 5: Solve for x
    x = 6,072,169,965.84/82,381.20
  6. Step 6: Final answer
    x = 73,708.20

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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.