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Finding the Fourth Proportional to 71,143.72, 106,746.54 and 33,730

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Solution

The fourth proportional to 71,143.72, 106,746.54 and 33,730 is: 50,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.72 : 106,746.54 = 33,730 : x
  2. Step 2: Convert to fraction form
    71,143.72/106,746.54 = 33,730/x
  3. Step 3: Cross multiply
    71,143.72x = 106,746.54 × 33,730
  4. Step 4: Simplify right side
    71,143.72x = 3,600,560,794.20
  5. Step 5: Solve for x
    x = 3,600,560,794.20/71,143.72
  6. Step 6: Final answer
    x = 50,609.68

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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.