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Finding the Fourth Proportional to 192,098.40, 288,144.90 and 86,917.20

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Solution

The fourth proportional to 192,098.40, 288,144.90 and 86,917.20 is: 130,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,098.40 : 288,144.90 = 86,917.20 : x
  2. Step 2: Convert to fraction form
    192,098.40/288,144.90 = 86,917.20/x
  3. Step 3: Cross multiply
    192,098.40x = 288,144.90 × 86,917.20
  4. Step 4: Simplify right side
    192,098.40x = 25,044,747,902.28
  5. Step 5: Solve for x
    x = 25,044,747,902.28/192,098.40
  6. Step 6: Final answer
    x = 130,374.58

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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.