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Finding the Fourth Proportional to 207,730.77, 311,462.99 and 87,755.25

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Solution

The fourth proportional to 207,730.77, 311,462.99 and 87,755.25 is: 131,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,730.77 : 311,462.99 = 87,755.25 : x
  2. Step 2: Convert to fraction form
    207,730.77/311,462.99 = 87,755.25/x
  3. Step 3: Cross multiply
    207,730.77x = 311,462.99 × 87,755.25
  4. Step 4: Simplify right side
    207,730.77x = 27,332,512,114.42
  5. Step 5: Solve for x
    x = 27,332,512,114.42/207,730.77
  6. Step 6: Final answer
    x = 131,576.62

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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.