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Finding the Fourth Proportional to 129,693.76, 194,560.88 and 54,814.24

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Solution

The fourth proportional to 129,693.76, 194,560.88 and 54,814.24 is: 82,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,693.76 : 194,560.88 = 54,814.24 : x
  2. Step 2: Convert to fraction form
    129,693.76/194,560.88 = 54,814.24/x
  3. Step 3: Cross multiply
    129,693.76x = 194,560.88 × 54,814.24
  4. Step 4: Simplify right side
    129,693.76x = 10,664,706,770.93
  5. Step 5: Solve for x
    x = 10,664,706,770.93/129,693.76
  6. Step 6: Final answer
    x = 82,229.91

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1.5x scale

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.