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Finding the Fourth Proportional to 208,507.17, 312,642.25 and 82,078.95

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Solution

The fourth proportional to 208,507.17, 312,642.25 and 82,078.95 is: 123,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,507.17 : 312,642.25 = 82,078.95 : x
  2. Step 2: Convert to fraction form
    208,507.17/312,642.25 = 82,078.95/x
  3. Step 3: Cross multiply
    208,507.17x = 312,642.25 × 82,078.95
  4. Step 4: Simplify right side
    208,507.17x = 25,661,347,605.64
  5. Step 5: Solve for x
    x = 25,661,347,605.64/208,507.17
  6. Step 6: Final answer
    x = 123,071.78

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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.