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Finding the Fourth Proportional to 201,705.92, 302,720.16 and 90,906.56

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Solution

The fourth proportional to 201,705.92, 302,720.16 and 90,906.56 is: 136,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705.92 : 302,720.16 = 90,906.56 : x
  2. Step 2: Convert to fraction form
    201,705.92/302,720.16 = 90,906.56/x
  3. Step 3: Cross multiply
    201,705.92x = 302,720.16 × 90,906.56
  4. Step 4: Simplify right side
    201,705.92x = 27,519,248,388.25
  5. Step 5: Solve for x
    x = 27,519,248,388.25/201,705.92
  6. Step 6: Final answer
    x = 136,432.53

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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.