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Finding the Fourth Proportional to 65,253.69, 97,864.56 and 20,871.26

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Solution

The fourth proportional to 65,253.69, 97,864.56 and 20,871.26 is: 31,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,253.69 : 97,864.56 = 20,871.26 : x
  2. Step 2: Convert to fraction form
    65,253.69/97,864.56 = 20,871.26/x
  3. Step 3: Cross multiply
    65,253.69x = 97,864.56 × 20,871.26
  4. Step 4: Simplify right side
    65,253.69x = 2,042,556,676.55
  5. Step 5: Solve for x
    x = 2,042,556,676.55/65,253.69
  6. Step 6: Final answer
    x = 31,301.78

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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.