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Finding the Fourth Proportional to 100,396.74, 138,548.57 and 55,074.81

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Solution

The fourth proportional to 100,396.74, 138,548.57 and 55,074.81 is: 76,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,396.74 : 138,548.57 = 55,074.81 : x
  2. Step 2: Convert to fraction form
    100,396.74/138,548.57 = 55,074.81/x
  3. Step 3: Cross multiply
    100,396.74x = 138,548.57 × 55,074.81
  4. Step 4: Simplify right side
    100,396.74x = 7,630,535,788.27
  5. Step 5: Solve for x
    x = 7,630,535,788.27/100,396.74
  6. Step 6: Final answer
    x = 76,003.82

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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.