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Finding the Fourth Proportional to 82,163.84, 123,073.29 and 52,162.65

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Solution

The fourth proportional to 82,163.84, 123,073.29 and 52,162.65 is: 78,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.84 : 123,073.29 = 52,162.65 : x
  2. Step 2: Convert to fraction form
    82,163.84/123,073.29 = 52,162.65/x
  3. Step 3: Cross multiply
    82,163.84x = 123,073.29 × 52,162.65
  4. Step 4: Simplify right side
    82,163.84x = 6,419,828,950.62
  5. Step 5: Solve for x
    x = 6,419,828,950.62/82,163.84
  6. Step 6: Final answer
    x = 78,134.49

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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.