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Finding the Fourth Proportional to 208,397.61, 312,610.19 and 82,027.89

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Solution

The fourth proportional to 208,397.61, 312,610.19 and 82,027.89 is: 123,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,397.61 : 312,610.19 = 82,027.89 : x
  2. Step 2: Convert to fraction form
    208,397.61/312,610.19 = 82,027.89/x
  3. Step 3: Cross multiply
    208,397.61x = 312,610.19 × 82,027.89
  4. Step 4: Simplify right side
    208,397.61x = 25,642,753,868.06
  5. Step 5: Solve for x
    x = 25,642,753,868.06/208,397.61
  6. Step 6: Final answer
    x = 123,047.26

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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.