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Finding the Fourth Proportional to 88,195.50, 121,709.88 and 50,469.84

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Solution

The fourth proportional to 88,195.50, 121,709.88 and 50,469.84 is: 69,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,195.50 : 121,709.88 = 50,469.84 : x
  2. Step 2: Convert to fraction form
    88,195.50/121,709.88 = 50,469.84/x
  3. Step 3: Cross multiply
    88,195.50x = 121,709.88 × 50,469.84
  4. Step 4: Simplify right side
    88,195.50x = 6,142,678,170.02
  5. Step 5: Solve for x
    x = 6,142,678,170.02/88,195.50
  6. Step 6: Final answer
    x = 69,648.43

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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.