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Finding the Fourth Proportional to 65,394.99, 98,083.13 and 21,015.90

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Solution

The fourth proportional to 65,394.99, 98,083.13 and 21,015.90 is: 31,520.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,394.99 : 98,083.13 = 21,015.90 : x
  2. Step 2: Convert to fraction form
    65,394.99/98,083.13 = 21,015.90/x
  3. Step 3: Cross multiply
    65,394.99x = 98,083.13 × 21,015.90
  4. Step 4: Simplify right side
    65,394.99x = 2,061,305,146.69
  5. Step 5: Solve for x
    x = 2,061,305,146.69/65,394.99
  6. Step 6: Final answer
    x = 31,520.84

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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.