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Finding the Fourth Proportional to 129,695.77, 194,496.81 and 54,821.71

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Solution

The fourth proportional to 129,695.77, 194,496.81 and 54,821.71 is: 82,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,695.77 : 194,496.81 = 54,821.71 : x
  2. Step 2: Convert to fraction form
    129,695.77/194,496.81 = 54,821.71/x
  3. Step 3: Cross multiply
    129,695.77x = 194,496.81 × 54,821.71
  4. Step 4: Simplify right side
    129,695.77x = 10,662,647,713.75
  5. Step 5: Solve for x
    x = 10,662,647,713.75/129,695.77
  6. Step 6: Final answer
    x = 82,212.76

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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.