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Finding the Fourth Proportional to 65,257.72, 97,865.92 and 40,260.31

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Solution

The fourth proportional to 65,257.72, 97,865.92 and 40,260.31 is: 60,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,257.72 : 97,865.92 = 40,260.31 : x
  2. Step 2: Convert to fraction form
    65,257.72/97,865.92 = 40,260.31/x
  3. Step 3: Cross multiply
    65,257.72x = 97,865.92 × 40,260.31
  4. Step 4: Simplify right side
    65,257.72x = 3,940,112,277.64
  5. Step 5: Solve for x
    x = 3,940,112,277.64/65,257.72
  6. Step 6: Final answer
    x = 60,377.72

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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.