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Finding the Fourth Proportional to 159,057.82, 219,504.01 and 86,465.61

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Solution

The fourth proportional to 159,057.82, 219,504.01 and 86,465.61 is: 119,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,057.82 : 219,504.01 = 86,465.61 : x
  2. Step 2: Convert to fraction form
    159,057.82/219,504.01 = 86,465.61/x
  3. Step 3: Cross multiply
    159,057.82x = 219,504.01 × 86,465.61
  4. Step 4: Simplify right side
    159,057.82x = 18,979,548,122.10
  5. Step 5: Solve for x
    x = 18,979,548,122.10/159,057.82
  6. Step 6: Final answer
    x = 119,324.83

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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.