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Finding the Fourth Proportional to 73,170.91, 109,743.57 and 20,567.89

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Solution

The fourth proportional to 73,170.91, 109,743.57 and 20,567.89 is: 30,848.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,170.91 : 109,743.57 = 20,567.89 : x
  2. Step 2: Convert to fraction form
    73,170.91/109,743.57 = 20,567.89/x
  3. Step 3: Cross multiply
    73,170.91x = 109,743.57 × 20,567.89
  4. Step 4: Simplify right side
    73,170.91x = 2,257,193,675.97
  5. Step 5: Solve for x
    x = 2,257,193,675.97/73,170.91
  6. Step 6: Final answer
    x = 30,848.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.