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Finding the Fourth Proportional to 82,231.32, 123,273.14 and 68,281

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Solution

The fourth proportional to 82,231.32, 123,273.14 and 68,281 is: 102,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.32 : 123,273.14 = 68,281 : x
  2. Step 2: Convert to fraction form
    82,231.32/123,273.14 = 68,281/x
  3. Step 3: Cross multiply
    82,231.32x = 123,273.14 × 68,281
  4. Step 4: Simplify right side
    82,231.32x = 8,417,213,272.34
  5. Step 5: Solve for x
    x = 8,417,213,272.34/82,231.32
  6. Step 6: Final answer
    x = 102,360.19

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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.