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Finding the Fourth Proportional to 71,103.47, 106,672.76 and 21,183.38

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Solution

The fourth proportional to 71,103.47, 106,672.76 and 21,183.38 is: 31,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,103.47 : 106,672.76 = 21,183.38 : x
  2. Step 2: Convert to fraction form
    71,103.47/106,672.76 = 21,183.38/x
  3. Step 3: Cross multiply
    71,103.47x = 106,672.76 × 21,183.38
  4. Step 4: Simplify right side
    71,103.47x = 2,259,688,971.45
  5. Step 5: Solve for x
    x = 2,259,688,971.45/71,103.47
  6. Step 6: Final answer
    x = 31,780.29

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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.