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Finding the Fourth Proportional to 115,093.92, 158,872.78 and 85,120.46

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Solution

The fourth proportional to 115,093.92, 158,872.78 and 85,120.46 is: 117,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,093.92 : 158,872.78 = 85,120.46 : x
  2. Step 2: Convert to fraction form
    115,093.92/158,872.78 = 85,120.46/x
  3. Step 3: Cross multiply
    115,093.92x = 158,872.78 × 85,120.46
  4. Step 4: Simplify right side
    115,093.92x = 13,523,324,115.08
  5. Step 5: Solve for x
    x = 13,523,324,115.08/115,093.92
  6. Step 6: Final answer
    x = 117,498.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.