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Finding the Fourth Proportional to 82,412.80, 123,619.20 and 20,083.84

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Solution

The fourth proportional to 82,412.80, 123,619.20 and 20,083.84 is: 30,125.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412.80 : 123,619.20 = 20,083.84 : x
  2. Step 2: Convert to fraction form
    82,412.80/123,619.20 = 20,083.84/x
  3. Step 3: Cross multiply
    82,412.80x = 123,619.20 × 20,083.84
  4. Step 4: Simplify right side
    82,412.80x = 2,482,748,233.73
  5. Step 5: Solve for x
    x = 2,482,748,233.73/82,412.80
  6. Step 6: Final answer
    x = 30,125.76

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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.