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Finding the Fourth Proportional to 65,447.73, 98,171.58 and 21,078.96

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Solution

The fourth proportional to 65,447.73, 98,171.58 and 21,078.96 is: 31,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,447.73 : 98,171.58 = 21,078.96 : x
  2. Step 2: Convert to fraction form
    65,447.73/98,171.58 = 21,078.96/x
  3. Step 3: Cross multiply
    65,447.73x = 98,171.58 × 21,078.96
  4. Step 4: Simplify right side
    65,447.73x = 2,069,354,807.96
  5. Step 5: Solve for x
    x = 2,069,354,807.96/65,447.73
  6. Step 6: Final answer
    x = 31,618.44

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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.