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Finding the Fourth Proportional to 129,677.80, 194,516.70 and 82,983.40

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Solution

The fourth proportional to 129,677.80, 194,516.70 and 82,983.40 is: 124,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,677.80 : 194,516.70 = 82,983.40 : x
  2. Step 2: Convert to fraction form
    129,677.80/194,516.70 = 82,983.40/x
  3. Step 3: Cross multiply
    129,677.80x = 194,516.70 × 82,983.40
  4. Step 4: Simplify right side
    129,677.80x = 16,141,657,122.78
  5. Step 5: Solve for x
    x = 16,141,657,122.78/129,677.80
  6. Step 6: Final answer
    x = 124,475.10

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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.