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Finding the Fourth Proportional to 207,899.39, 311,887.55 and 65,780.44

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Solution

The fourth proportional to 207,899.39, 311,887.55 and 65,780.44 is: 98,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,899.39 : 311,887.55 = 65,780.44 : x
  2. Step 2: Convert to fraction form
    207,899.39/311,887.55 = 65,780.44/x
  3. Step 3: Cross multiply
    207,899.39x = 311,887.55 × 65,780.44
  4. Step 4: Simplify right side
    207,899.39x = 20,516,100,700.49
  5. Step 5: Solve for x
    x = 20,516,100,700.49/207,899.39
  6. Step 6: Final answer
    x = 98,682.83

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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.