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Finding the Fourth Proportional to 159,200.82, 219,694.77 and 87,576.57

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Solution

The fourth proportional to 159,200.82, 219,694.77 and 87,576.57 is: 120,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,200.82 : 219,694.77 = 87,576.57 : x
  2. Step 2: Convert to fraction form
    159,200.82/219,694.77 = 87,576.57/x
  3. Step 3: Cross multiply
    159,200.82x = 219,694.77 × 87,576.57
  4. Step 4: Simplify right side
    159,200.82x = 19,240,114,403.54
  5. Step 5: Solve for x
    x = 19,240,114,403.54/159,200.82
  6. Step 6: Final answer
    x = 120,854.37

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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.