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Finding the Fourth Proportional to 208,276.92, 312,350.74 and 75,139.83

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Solution

The fourth proportional to 208,276.92, 312,350.74 and 75,139.83 is: 112,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,276.92 : 312,350.74 = 75,139.83 : x
  2. Step 2: Convert to fraction form
    208,276.92/312,350.74 = 75,139.83/x
  3. Step 3: Cross multiply
    208,276.92x = 312,350.74 × 75,139.83
  4. Step 4: Simplify right side
    208,276.92x = 23,469,981,128.28
  5. Step 5: Solve for x
    x = 23,469,981,128.28/208,276.92
  6. Step 6: Final answer
    x = 112,686.42

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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.