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Finding the Fourth Proportional to 65,659.73, 98,505.19 and 21,286.52

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Solution

The fourth proportional to 65,659.73, 98,505.19 and 21,286.52 is: 31,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,659.73 : 98,505.19 = 21,286.52 : x
  2. Step 2: Convert to fraction form
    65,659.73/98,505.19 = 21,286.52/x
  3. Step 3: Cross multiply
    65,659.73x = 98,505.19 × 21,286.52
  4. Step 4: Simplify right side
    65,659.73x = 2,096,832,204.51
  5. Step 5: Solve for x
    x = 2,096,832,204.51/65,659.73
  6. Step 6: Final answer
    x = 31,934.83

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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.