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Finding the Fourth Proportional to 207,766.76, 311,680.10 and 65,563.70

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Solution

The fourth proportional to 207,766.76, 311,680.10 and 65,563.70 is: 98,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,766.76 : 311,680.10 = 65,563.70 : x
  2. Step 2: Convert to fraction form
    207,766.76/311,680.10 = 65,563.70/x
  3. Step 3: Cross multiply
    207,766.76x = 311,680.10 × 65,563.70
  4. Step 4: Simplify right side
    207,766.76x = 20,434,899,177.88
  5. Step 5: Solve for x
    x = 20,434,899,177.88/207,766.76
  6. Step 6: Final answer
    x = 98,355.00

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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.