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Finding the Fourth Proportional to 207,859.10, 311,327.85 and 83,135.90

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Solution

The fourth proportional to 207,859.10, 311,327.85 and 83,135.90 is: 124,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,859.10 : 311,327.85 = 83,135.90 : x
  2. Step 2: Convert to fraction form
    207,859.10/311,327.85 = 83,135.90/x
  3. Step 3: Cross multiply
    207,859.10x = 311,327.85 × 83,135.90
  4. Step 4: Simplify right side
    207,859.10x = 25,882,521,004.82
  5. Step 5: Solve for x
    x = 25,882,521,004.82/207,859.10
  6. Step 6: Final answer
    x = 124,519.55

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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.