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Finding the Fourth Proportional to 129,825.70, 194,738.55 and 81,152.80

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Solution

The fourth proportional to 129,825.70, 194,738.55 and 81,152.80 is: 121,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,825.70 : 194,738.55 = 81,152.80 : x
  2. Step 2: Convert to fraction form
    129,825.70/194,738.55 = 81,152.80/x
  3. Step 3: Cross multiply
    129,825.70x = 194,738.55 × 81,152.80
  4. Step 4: Simplify right side
    129,825.70x = 15,803,578,600.44
  5. Step 5: Solve for x
    x = 15,803,578,600.44/129,825.70
  6. Step 6: Final answer
    x = 121,729.20

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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.