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Finding the Fourth Proportional to 133,119.60, 199,582.20 and 54,193.20

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Solution

The fourth proportional to 133,119.60, 199,582.20 and 54,193.20 is: 81,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,119.60 : 199,582.20 = 54,193.20 : x
  2. Step 2: Convert to fraction form
    133,119.60/199,582.20 = 54,193.20/x
  3. Step 3: Cross multiply
    133,119.60x = 199,582.20 × 54,193.20
  4. Step 4: Simplify right side
    133,119.60x = 10,815,998,081.04
  5. Step 5: Solve for x
    x = 10,815,998,081.04/133,119.60
  6. Step 6: Final answer
    x = 81,250.23

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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.