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Finding the Fourth Proportional to 100,396.36, 138,523.72 and 60,094.80

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Solution

The fourth proportional to 100,396.36, 138,523.72 and 60,094.80 is: 82,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,396.36 : 138,523.72 = 60,094.80 : x
  2. Step 2: Convert to fraction form
    100,396.36/138,523.72 = 60,094.80/x
  3. Step 3: Cross multiply
    100,396.36x = 138,523.72 × 60,094.80
  4. Step 4: Simplify right side
    100,396.36x = 8,324,555,248.66
  5. Step 5: Solve for x
    x = 8,324,555,248.66/100,396.36
  6. Step 6: Final answer
    x = 82,916.90

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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.