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Finding the Fourth Proportional to 73,166.42, 109,749.61 and 20,575.91

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Solution

The fourth proportional to 73,166.42, 109,749.61 and 20,575.91 is: 30,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,166.42 : 109,749.61 = 20,575.91 : x
  2. Step 2: Convert to fraction form
    73,166.42/109,749.61 = 20,575.91/x
  3. Step 3: Cross multiply
    73,166.42x = 109,749.61 × 20,575.91
  4. Step 4: Simplify right side
    73,166.42x = 2,258,197,497.71
  5. Step 5: Solve for x
    x = 2,258,197,497.71/73,166.42
  6. Step 6: Final answer
    x = 30,863.85

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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.