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Finding the Fourth Proportional to 65,796.93, 98,693.78 and 20,821.41

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Solution

The fourth proportional to 65,796.93, 98,693.78 and 20,821.41 is: 31,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,796.93 : 98,693.78 = 20,821.41 : x
  2. Step 2: Convert to fraction form
    65,796.93/98,693.78 = 20,821.41/x
  3. Step 3: Cross multiply
    65,796.93x = 98,693.78 × 20,821.41
  4. Step 4: Simplify right side
    65,796.93x = 2,054,943,553.72
  5. Step 5: Solve for x
    x = 2,054,943,553.72/65,796.93
  6. Step 6: Final answer
    x = 31,231.60

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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.