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Finding the Fourth Proportional to 65,849.55, 98,796.49 and 20,878.24

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Solution

The fourth proportional to 65,849.55, 98,796.49 and 20,878.24 is: 31,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,849.55 : 98,796.49 = 20,878.24 : x
  2. Step 2: Convert to fraction form
    65,849.55/98,796.49 = 20,878.24/x
  3. Step 3: Cross multiply
    65,849.55x = 98,796.49 × 20,878.24
  4. Step 4: Simplify right side
    65,849.55x = 2,062,696,829.38
  5. Step 5: Solve for x
    x = 2,062,696,829.38/65,849.55
  6. Step 6: Final answer
    x = 31,324.39

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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.