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Finding the Fourth Proportional to 129,761.80, 194,642.70 and 83,067.40

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Solution

The fourth proportional to 129,761.80, 194,642.70 and 83,067.40 is: 124,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,761.80 : 194,642.70 = 83,067.40 : x
  2. Step 2: Convert to fraction form
    129,761.80/194,642.70 = 83,067.40/x
  3. Step 3: Cross multiply
    129,761.80x = 194,642.70 × 83,067.40
  4. Step 4: Simplify right side
    129,761.80x = 16,168,463,017.98
  5. Step 5: Solve for x
    x = 16,168,463,017.98/129,761.80
  6. Step 6: Final answer
    x = 124,601.10

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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.