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Finding the Fourth Proportional to 80,175.76, 110,692.74 and 51,506.98

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Solution

The fourth proportional to 80,175.76, 110,692.74 and 51,506.98 is: 71,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,175.76 : 110,692.74 = 51,506.98 : x
  2. Step 2: Convert to fraction form
    80,175.76/110,692.74 = 51,506.98/x
  3. Step 3: Cross multiply
    80,175.76x = 110,692.74 × 51,506.98
  4. Step 4: Simplify right side
    80,175.76x = 5,701,448,745.33
  5. Step 5: Solve for x
    x = 5,701,448,745.33/80,175.76
  6. Step 6: Final answer
    x = 71,111.88

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1.5x scale

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.