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Finding the Fourth Proportional to 207,856.64, 311,796.09 and 65,691.10

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Solution

The fourth proportional to 207,856.64, 311,796.09 and 65,691.10 is: 98,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,856.64 : 311,796.09 = 65,691.10 : x
  2. Step 2: Convert to fraction form
    207,856.64/311,796.09 = 65,691.10/x
  3. Step 3: Cross multiply
    207,856.64x = 311,796.09 × 65,691.10
  4. Step 4: Simplify right side
    207,856.64x = 20,482,228,563.73
  5. Step 5: Solve for x
    x = 20,482,228,563.73/207,856.64
  6. Step 6: Final answer
    x = 98,540.17

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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.