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Finding the Fourth Proportional to 129,808, 194,712 and 36,313.75

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Solution

The fourth proportional to 129,808, 194,712 and 36,313.75 is: 54,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,808 : 194,712 = 36,313.75 : x
  2. Step 2: Convert to fraction form
    129,808/194,712 = 36,313.75/x
  3. Step 3: Cross multiply
    129,808x = 194,712 × 36,313.75
  4. Step 4: Simplify right side
    129,808x = 7,070,722,890
  5. Step 5: Solve for x
    x = 7,070,722,890/129,808
  6. Step 6: Final answer
    x = 54,470.63

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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.