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Finding the Fourth Proportional to 159,197.86, 219,542.27 and 101,855.33

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Solution

The fourth proportional to 159,197.86, 219,542.27 and 101,855.33 is: 140,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,197.86 : 219,542.27 = 101,855.33 : x
  2. Step 2: Convert to fraction form
    159,197.86/219,542.27 = 101,855.33/x
  3. Step 3: Cross multiply
    159,197.86x = 219,542.27 × 101,855.33
  4. Step 4: Simplify right side
    159,197.86x = 22,361,549,576.09
  5. Step 5: Solve for x
    x = 22,361,549,576.09/159,197.86
  6. Step 6: Final answer
    x = 140,463.88

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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.