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Finding the Fourth Proportional to 65,388.96, 98,082.75 and 21,015.75

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Solution

The fourth proportional to 65,388.96, 98,082.75 and 21,015.75 is: 31,523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,388.96 : 98,082.75 = 21,015.75 : x
  2. Step 2: Convert to fraction form
    65,388.96/98,082.75 = 21,015.75/x
  3. Step 3: Cross multiply
    65,388.96x = 98,082.75 × 21,015.75
  4. Step 4: Simplify right side
    65,388.96x = 2,061,282,553.31
  5. Step 5: Solve for x
    x = 2,061,282,553.31/65,388.96
  6. Step 6: Final answer
    x = 31,523.40

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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.