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Finding the Fourth Proportional to 65,277.75, 97,902.90 and 31,964.25

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Solution

The fourth proportional to 65,277.75, 97,902.90 and 31,964.25 is: 47,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,277.75 : 97,902.90 = 31,964.25 : x
  2. Step 2: Convert to fraction form
    65,277.75/97,902.90 = 31,964.25/x
  3. Step 3: Cross multiply
    65,277.75x = 97,902.90 × 31,964.25
  4. Step 4: Simplify right side
    65,277.75x = 3,129,392,771.33
  5. Step 5: Solve for x
    x = 3,129,392,771.33/65,277.75
  6. Step 6: Final answer
    x = 47,939.65

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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.