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Finding the Fourth Proportional to 66,506.50, 99,778.50 and 27,091.90

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Solution

The fourth proportional to 66,506.50, 99,778.50 and 27,091.90 is: 40,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,506.50 : 99,778.50 = 27,091.90 : x
  2. Step 2: Convert to fraction form
    66,506.50/99,778.50 = 27,091.90/x
  3. Step 3: Cross multiply
    66,506.50x = 99,778.50 × 27,091.90
  4. Step 4: Simplify right side
    66,506.50x = 2,703,189,144.15
  5. Step 5: Solve for x
    x = 2,703,189,144.15/66,506.50
  6. Step 6: Final answer
    x = 40,645.49

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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.