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Finding the Fourth Proportional to 159,388.83, 219,958.02 and 87,769.14

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Solution

The fourth proportional to 159,388.83, 219,958.02 and 87,769.14 is: 121,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,388.83 : 219,958.02 = 87,769.14 : x
  2. Step 2: Convert to fraction form
    159,388.83/219,958.02 = 87,769.14/x
  3. Step 3: Cross multiply
    159,388.83x = 219,958.02 × 87,769.14
  4. Step 4: Simplify right side
    159,388.83x = 19,305,526,251.50
  5. Step 5: Solve for x
    x = 19,305,526,251.50/159,388.83
  6. Step 6: Final answer
    x = 121,122.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.