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Finding the Fourth Proportional to 129,861.80, 194,792.70 and 107,700.20

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Solution

The fourth proportional to 129,861.80, 194,792.70 and 107,700.20 is: 161,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,861.80 : 194,792.70 = 107,700.20 : x
  2. Step 2: Convert to fraction form
    129,861.80/194,792.70 = 107,700.20/x
  3. Step 3: Cross multiply
    129,861.80x = 194,792.70 × 107,700.20
  4. Step 4: Simplify right side
    129,861.80x = 20,979,212,748.54
  5. Step 5: Solve for x
    x = 20,979,212,748.54/129,861.80
  6. Step 6: Final answer
    x = 161,550.30

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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.