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Finding the Fourth Proportional to 207,770.88, 311,695.12 and 83,121.60

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Solution

The fourth proportional to 207,770.88, 311,695.12 and 83,121.60 is: 124,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,770.88 : 311,695.12 = 83,121.60 : x
  2. Step 2: Convert to fraction form
    207,770.88/311,695.12 = 83,121.60/x
  3. Step 3: Cross multiply
    207,770.88x = 311,695.12 × 83,121.60
  4. Step 4: Simplify right side
    207,770.88x = 25,908,597,086.59
  5. Step 5: Solve for x
    x = 25,908,597,086.59/207,770.88
  6. Step 6: Final answer
    x = 124,697.92

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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.