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Finding the Fourth Proportional to 129,713.80, 194,570.70 and 36,219.40

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Solution

The fourth proportional to 129,713.80, 194,570.70 and 36,219.40 is: 54,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,713.80 : 194,570.70 = 36,219.40 : x
  2. Step 2: Convert to fraction form
    129,713.80/194,570.70 = 36,219.40/x
  3. Step 3: Cross multiply
    129,713.80x = 194,570.70 × 36,219.40
  4. Step 4: Simplify right side
    129,713.80x = 7,047,234,011.58
  5. Step 5: Solve for x
    x = 7,047,234,011.58/129,713.80
  6. Step 6: Final answer
    x = 54,329.10

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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.