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Finding the Fourth Proportional to 208,690.80, 312,961.86 and 75,536.52

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Solution

The fourth proportional to 208,690.80, 312,961.86 and 75,536.52 is: 113,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,690.80 : 312,961.86 = 75,536.52 : x
  2. Step 2: Convert to fraction form
    208,690.80/312,961.86 = 75,536.52/x
  3. Step 3: Cross multiply
    208,690.80x = 312,961.86 × 75,536.52
  4. Step 4: Simplify right side
    208,690.80x = 23,640,049,797.13
  5. Step 5: Solve for x
    x = 23,640,049,797.13/208,690.80
  6. Step 6: Final answer
    x = 113,277.87

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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.