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Finding the Fourth Proportional to 128,581.34, 192,902.56 and 53,659.84

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Solution

The fourth proportional to 128,581.34, 192,902.56 and 53,659.84 is: 80,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,581.34 : 192,902.56 = 53,659.84 : x
  2. Step 2: Convert to fraction form
    128,581.34/192,902.56 = 53,659.84/x
  3. Step 3: Cross multiply
    128,581.34x = 192,902.56 × 53,659.84
  4. Step 4: Simplify right side
    128,581.34x = 10,351,120,505.19
  5. Step 5: Solve for x
    x = 10,351,120,505.19/128,581.34
  6. Step 6: Final answer
    x = 80,502.51

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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.