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Finding the Fourth Proportional to 207,961.30, 311,942 and 58,223.64

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Solution

The fourth proportional to 207,961.30, 311,942 and 58,223.64 is: 87,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,961.30 : 311,942 = 58,223.64 : x
  2. Step 2: Convert to fraction form
    207,961.30/311,942 = 58,223.64/x
  3. Step 3: Cross multiply
    207,961.30x = 311,942 × 58,223.64
  4. Step 4: Simplify right side
    207,961.30x = 18,162,398,708.88
  5. Step 5: Solve for x
    x = 18,162,398,708.88/207,961.30
  6. Step 6: Final answer
    x = 87,335.47

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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.