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Finding the Fourth Proportional to 65,162, 97,589.86 and 31,777.48

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Solution

The fourth proportional to 65,162, 97,589.86 and 31,777.48 is: 47,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,162 : 97,589.86 = 31,777.48 : x
  2. Step 2: Convert to fraction form
    65,162/97,589.86 = 31,777.48/x
  3. Step 3: Cross multiply
    65,162x = 97,589.86 × 31,777.48
  4. Step 4: Simplify right side
    65,162x = 3,101,159,824.35
  5. Step 5: Solve for x
    x = 3,101,159,824.35/65,162
  6. Step 6: Final answer
    x = 47,591.54

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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.