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Finding the Fourth Proportional to 159,311.82, 219,856.17 and 87,694.86

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Solution

The fourth proportional to 159,311.82, 219,856.17 and 87,694.86 is: 121,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311.82 : 219,856.17 = 87,694.86 : x
  2. Step 2: Convert to fraction form
    159,311.82/219,856.17 = 87,694.86/x
  3. Step 3: Cross multiply
    159,311.82x = 219,856.17 × 87,694.86
  4. Step 4: Simplify right side
    159,311.82x = 19,280,256,048.29
  5. Step 5: Solve for x
    x = 19,280,256,048.29/159,311.82
  6. Step 6: Final answer
    x = 121,022.13

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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.