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Finding the Fourth Proportional to 215,181.92, 322,772.33 and 65,421.56

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Solution

The fourth proportional to 215,181.92, 322,772.33 and 65,421.56 is: 98,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,181.92 : 322,772.33 = 65,421.56 : x
  2. Step 2: Convert to fraction form
    215,181.92/322,772.33 = 65,421.56/x
  3. Step 3: Cross multiply
    215,181.92x = 322,772.33 × 65,421.56
  4. Step 4: Simplify right side
    215,181.92x = 21,116,269,353.43
  5. Step 5: Solve for x
    x = 21,116,269,353.43/215,181.92
  6. Step 6: Final answer
    x = 98,132.17

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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.