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Finding the Fourth Proportional to 208,507.67, 312,643 and 82,079.45

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Solution

The fourth proportional to 208,507.67, 312,643 and 82,079.45 is: 123,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,507.67 : 312,643 = 82,079.45 : x
  2. Step 2: Convert to fraction form
    208,507.67/312,643 = 82,079.45/x
  3. Step 3: Cross multiply
    208,507.67x = 312,643 × 82,079.45
  4. Step 4: Simplify right side
    208,507.67x = 25,661,565,486.35
  5. Step 5: Solve for x
    x = 25,661,565,486.35/208,507.67
  6. Step 6: Final answer
    x = 123,072.53

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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.