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Finding the Fourth Proportional to 128,881.43, 193,339.10 and 47,817.42

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Solution

The fourth proportional to 128,881.43, 193,339.10 and 47,817.42 is: 71,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,881.43 : 193,339.10 = 47,817.42 : x
  2. Step 2: Convert to fraction form
    128,881.43/193,339.10 = 47,817.42/x
  3. Step 3: Cross multiply
    128,881.43x = 193,339.10 × 47,817.42
  4. Step 4: Simplify right side
    128,881.43x = 9,244,976,333.97
  5. Step 5: Solve for x
    x = 9,244,976,333.97/128,881.43
  6. Step 6: Final answer
    x = 71,732.41

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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.