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Finding the Fourth Proportional to 208,081.68, 312,168.96 and 81,734.16

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Solution

The fourth proportional to 208,081.68, 312,168.96 and 81,734.16 is: 122,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,081.68 : 312,168.96 = 81,734.16 : x
  2. Step 2: Convert to fraction form
    208,081.68/312,168.96 = 81,734.16/x
  3. Step 3: Cross multiply
    208,081.68x = 312,168.96 × 81,734.16
  4. Step 4: Simplify right side
    208,081.68x = 25,514,867,723.67
  5. Step 5: Solve for x
    x = 25,514,867,723.67/208,081.68
  6. Step 6: Final answer
    x = 122,619.48

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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.