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Finding the Fourth Proportional to 65,694.78, 98,557.68 and 21,321.42

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Solution

The fourth proportional to 65,694.78, 98,557.68 and 21,321.42 is: 31,987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694.78 : 98,557.68 = 21,321.42 : x
  2. Step 2: Convert to fraction form
    65,694.78/98,557.68 = 21,321.42/x
  3. Step 3: Cross multiply
    65,694.78x = 98,557.68 × 21,321.42
  4. Step 4: Simplify right side
    65,694.78x = 2,101,389,689.51
  5. Step 5: Solve for x
    x = 2,101,389,689.51/65,694.78
  6. Step 6: Final answer
    x = 31,987.16

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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.