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Finding the Fourth Proportional to 65,765.28, 98,662.80 and 19,021.92

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Solution

The fourth proportional to 65,765.28, 98,662.80 and 19,021.92 is: 28,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,765.28 : 98,662.80 = 19,021.92 : x
  2. Step 2: Convert to fraction form
    65,765.28/98,662.80 = 19,021.92/x
  3. Step 3: Cross multiply
    65,765.28x = 98,662.80 × 19,021.92
  4. Step 4: Simplify right side
    65,765.28x = 1,876,755,888.58
  5. Step 5: Solve for x
    x = 1,876,755,888.58/65,765.28
  6. Step 6: Final answer
    x = 28,537.18

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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.