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Finding the Fourth Proportional to 208,275.67, 312,348.86 and 75,138.58

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Solution

The fourth proportional to 208,275.67, 312,348.86 and 75,138.58 is: 112,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,275.67 : 312,348.86 = 75,138.58 : x
  2. Step 2: Convert to fraction form
    208,275.67/312,348.86 = 75,138.58/x
  3. Step 3: Cross multiply
    208,275.67x = 312,348.86 × 75,138.58
  4. Step 4: Simplify right side
    208,275.67x = 23,469,449,805.02
  5. Step 5: Solve for x
    x = 23,469,449,805.02/208,275.67
  6. Step 6: Final answer
    x = 112,684.55

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1.5x scale

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.