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Finding the Fourth Proportional to 159,081.50, 219,352.11 and 101,644.94

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Solution

The fourth proportional to 159,081.50, 219,352.11 and 101,644.94 is: 140,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,081.50 : 219,352.11 = 101,644.94 : x
  2. Step 2: Convert to fraction form
    159,081.50/219,352.11 = 101,644.94/x
  3. Step 3: Cross multiply
    159,081.50x = 219,352.11 × 101,644.94
  4. Step 4: Simplify right side
    159,081.50x = 22,296,032,059.82
  5. Step 5: Solve for x
    x = 22,296,032,059.82/159,081.50
  6. Step 6: Final answer
    x = 140,154.78

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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.