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Finding the Fourth Proportional to 208,984.64, 313,378.14 and 80,960.90

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Solution

The fourth proportional to 208,984.64, 313,378.14 and 80,960.90 is: 121,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984.64 : 313,378.14 = 80,960.90 : x
  2. Step 2: Convert to fraction form
    208,984.64/313,378.14 = 80,960.90/x
  3. Step 3: Cross multiply
    208,984.64x = 313,378.14 × 80,960.90
  4. Step 4: Simplify right side
    208,984.64x = 25,371,376,254.73
  5. Step 5: Solve for x
    x = 25,371,376,254.73/208,984.64
  6. Step 6: Final answer
    x = 121,403.07

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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.