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Finding the Fourth Proportional to 65,351.21, 98,017.53 and 20,972.21

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Solution

The fourth proportional to 65,351.21, 98,017.53 and 20,972.21 is: 31,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,351.21 : 98,017.53 = 20,972.21 : x
  2. Step 2: Convert to fraction form
    65,351.21/98,017.53 = 20,972.21/x
  3. Step 3: Cross multiply
    65,351.21x = 98,017.53 × 20,972.21
  4. Step 4: Simplify right side
    65,351.21x = 2,055,643,732.75
  5. Step 5: Solve for x
    x = 2,055,643,732.75/65,351.21
  6. Step 6: Final answer
    x = 31,455.33

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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.