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Finding the Fourth Proportional to 208,002.90, 311,721.66 and 87,960.09

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Solution

The fourth proportional to 208,002.90, 311,721.66 and 87,960.09 is: 131,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,002.90 : 311,721.66 = 87,960.09 : x
  2. Step 2: Convert to fraction form
    208,002.90/311,721.66 = 87,960.09/x
  3. Step 3: Cross multiply
    208,002.90x = 311,721.66 × 87,960.09
  4. Step 4: Simplify right side
    208,002.90x = 27,419,065,268.55
  5. Step 5: Solve for x
    x = 27,419,065,268.55/208,002.90
  6. Step 6: Final answer
    x = 131,820.59

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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.