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Finding the Fourth Proportional to 64,701.82, 97,020.33 and 20,328

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Solution

The fourth proportional to 64,701.82, 97,020.33 and 20,328 is: 30,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701.82 : 97,020.33 = 20,328 : x
  2. Step 2: Convert to fraction form
    64,701.82/97,020.33 = 20,328/x
  3. Step 3: Cross multiply
    64,701.82x = 97,020.33 × 20,328
  4. Step 4: Simplify right side
    64,701.82x = 1,972,229,268.24
  5. Step 5: Solve for x
    x = 1,972,229,268.24/64,701.82
  6. Step 6: Final answer
    x = 30,481.82

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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.