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Finding the Fourth Proportional to 218,489.12, 327,725.44 and 90,402

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Solution

The fourth proportional to 218,489.12, 327,725.44 and 90,402 is: 135,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,489.12 : 327,725.44 = 90,402 : x
  2. Step 2: Convert to fraction form
    218,489.12/327,725.44 = 90,402/x
  3. Step 3: Cross multiply
    218,489.12x = 327,725.44 × 90,402
  4. Step 4: Simplify right side
    218,489.12x = 29,627,035,226.88
  5. Step 5: Solve for x
    x = 29,627,035,226.88/218,489.12
  6. Step 6: Final answer
    x = 135,599.59

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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.