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Finding the Fourth Proportional to 65,253.78, 97,872.33 and 20,876.82

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Solution

The fourth proportional to 65,253.78, 97,872.33 and 20,876.82 is: 31,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253.78 : 97,872.33 = 20,876.82 : x
  2. Step 2: Convert to fraction form
    65,253.78/97,872.33 = 20,876.82/x
  3. Step 3: Cross multiply
    65,253.78x = 97,872.33 × 20,876.82
  4. Step 4: Simplify right side
    65,253.78x = 2,043,263,016.39
  5. Step 5: Solve for x
    x = 2,043,263,016.39/65,253.78
  6. Step 6: Final answer
    x = 31,312.56

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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.