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Finding the Fourth Proportional to 65,816.44, 98,739.53 and 20,840.54

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Solution

The fourth proportional to 65,816.44, 98,739.53 and 20,840.54 is: 31,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,816.44 : 98,739.53 = 20,840.54 : x
  2. Step 2: Convert to fraction form
    65,816.44/98,739.53 = 20,840.54/x
  3. Step 3: Cross multiply
    65,816.44x = 98,739.53 × 20,840.54
  4. Step 4: Simplify right side
    65,816.44x = 2,057,784,526.65
  5. Step 5: Solve for x
    x = 2,057,784,526.65/65,816.44
  6. Step 6: Final answer
    x = 31,265.51

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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.