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Finding the Fourth Proportional to 65,978, 91,049.64 and 36,169.36

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Solution

The fourth proportional to 65,978, 91,049.64 and 36,169.36 is: 49,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,978 : 91,049.64 = 36,169.36 : x
  2. Step 2: Convert to fraction form
    65,978/91,049.64 = 36,169.36/x
  3. Step 3: Cross multiply
    65,978x = 91,049.64 × 36,169.36
  4. Step 4: Simplify right side
    65,978x = 3,293,207,207.03
  5. Step 5: Solve for x
    x = 3,293,207,207.03/65,978
  6. Step 6: Final answer
    x = 49,913.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.