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Finding the Fourth Proportional to 65,665.68, 98,502 and 21,286.56

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Solution

The fourth proportional to 65,665.68, 98,502 and 21,286.56 is: 31,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,665.68 : 98,502 = 21,286.56 : x
  2. Step 2: Convert to fraction form
    65,665.68/98,502 = 21,286.56/x
  3. Step 3: Cross multiply
    65,665.68x = 98,502 × 21,286.56
  4. Step 4: Simplify right side
    65,665.68x = 2,096,768,733.12
  5. Step 5: Solve for x
    x = 2,096,768,733.12/65,665.68
  6. Step 6: Final answer
    x = 31,930.97

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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.