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Finding the Fourth Proportional to 208,702.52, 313,066.22 and 80,619.80

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Solution

The fourth proportional to 208,702.52, 313,066.22 and 80,619.80 is: 120,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,702.52 : 313,066.22 = 80,619.80 : x
  2. Step 2: Convert to fraction form
    208,702.52/313,066.22 = 80,619.80/x
  3. Step 3: Cross multiply
    208,702.52x = 313,066.22 × 80,619.80
  4. Step 4: Simplify right side
    208,702.52x = 25,239,336,043.16
  5. Step 5: Solve for x
    x = 25,239,336,043.16/208,702.52
  6. Step 6: Final answer
    x = 120,934.51

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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.