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Finding the Fourth Proportional to 100,175.23, 138,245.11 and 54,855.12

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Solution

The fourth proportional to 100,175.23, 138,245.11 and 54,855.12 is: 75,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,175.23 : 138,245.11 = 54,855.12 : x
  2. Step 2: Convert to fraction form
    100,175.23/138,245.11 = 54,855.12/x
  3. Step 3: Cross multiply
    100,175.23x = 138,245.11 × 54,855.12
  4. Step 4: Simplify right side
    100,175.23x = 7,583,452,098.46
  5. Step 5: Solve for x
    x = 7,583,452,098.46/100,175.23
  6. Step 6: Final answer
    x = 75,701.87

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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.