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Finding the Fourth Proportional to 159,405.57, 219,982.43 and 87,784.97

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Solution

The fourth proportional to 159,405.57, 219,982.43 and 87,784.97 is: 121,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,405.57 : 219,982.43 = 87,784.97 : x
  2. Step 2: Convert to fraction form
    159,405.57/219,982.43 = 87,784.97/x
  3. Step 3: Cross multiply
    159,405.57x = 219,982.43 × 87,784.97
  4. Step 4: Simplify right side
    159,405.57x = 19,311,150,137.63
  5. Step 5: Solve for x
    x = 19,311,150,137.63/159,405.57
  6. Step 6: Final answer
    x = 121,144.76

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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.