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Finding the Fourth Proportional to 71,813.92, 99,106.48 and 39,984.84

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Solution

The fourth proportional to 71,813.92, 99,106.48 and 39,984.84 is: 55,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,813.92 : 99,106.48 = 39,984.84 : x
  2. Step 2: Convert to fraction form
    71,813.92/99,106.48 = 39,984.84/x
  3. Step 3: Cross multiply
    71,813.92x = 99,106.48 × 39,984.84
  4. Step 4: Simplify right side
    71,813.92x = 3,962,756,745.76
  5. Step 5: Solve for x
    x = 3,962,756,745.76/71,813.92
  6. Step 6: Final answer
    x = 55,180.90

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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.