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Finding the Fourth Proportional to 65,651.82, 98,469.53 and 18,270.47

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Solution

The fourth proportional to 65,651.82, 98,469.53 and 18,270.47 is: 27,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,651.82 : 98,469.53 = 18,270.47 : x
  2. Step 2: Convert to fraction form
    65,651.82/98,469.53 = 18,270.47/x
  3. Step 3: Cross multiply
    65,651.82x = 98,469.53 × 18,270.47
  4. Step 4: Simplify right side
    65,651.82x = 1,799,084,010.08
  5. Step 5: Solve for x
    x = 1,799,084,010.08/65,651.82
  6. Step 6: Final answer
    x = 27,403.41

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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.