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Finding the Fourth Proportional to 240,163.82, 360,253.02 and 82,390

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Solution

The fourth proportional to 240,163.82, 360,253.02 and 82,390 is: 123,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,163.82 : 360,253.02 = 82,390 : x
  2. Step 2: Convert to fraction form
    240,163.82/360,253.02 = 82,390/x
  3. Step 3: Cross multiply
    240,163.82x = 360,253.02 × 82,390
  4. Step 4: Simplify right side
    240,163.82x = 29,681,246,317.80
  5. Step 5: Solve for x
    x = 29,681,246,317.80/240,163.82
  6. Step 6: Final answer
    x = 123,587.50

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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.