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Finding the Fourth Proportional to 141,085.68, 194,628.87 and 102,785.64

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Solution

The fourth proportional to 141,085.68, 194,628.87 and 102,785.64 is: 141,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,085.68 : 194,628.87 = 102,785.64 : x
  2. Step 2: Convert to fraction form
    141,085.68/194,628.87 = 102,785.64/x
  3. Step 3: Cross multiply
    141,085.68x = 194,628.87 × 102,785.64
  4. Step 4: Simplify right side
    141,085.68x = 20,005,052,965.43
  5. Step 5: Solve for x
    x = 20,005,052,965.43/141,085.68
  6. Step 6: Final answer
    x = 141,793.65

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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.