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Finding the Fourth Proportional to 207,704.15, 311,423.13 and 87,728.57

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Solution

The fourth proportional to 207,704.15, 311,423.13 and 87,728.57 is: 131,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,704.15 : 311,423.13 = 87,728.57 : x
  2. Step 2: Convert to fraction form
    207,704.15/311,423.13 = 87,728.57/x
  3. Step 3: Cross multiply
    207,704.15x = 311,423.13 × 87,728.57
  4. Step 4: Simplify right side
    207,704.15x = 27,320,705,470.55
  5. Step 5: Solve for x
    x = 27,320,705,470.55/207,704.15
  6. Step 6: Final answer
    x = 131,536.64

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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.