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Finding the Fourth Proportional to 100,885.43, 151,327.73 and 30,764.54

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Solution

The fourth proportional to 100,885.43, 151,327.73 and 30,764.54 is: 46,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,885.43 : 151,327.73 = 30,764.54 : x
  2. Step 2: Convert to fraction form
    100,885.43/151,327.73 = 30,764.54/x
  3. Step 3: Cross multiply
    100,885.43x = 151,327.73 × 30,764.54
  4. Step 4: Simplify right side
    100,885.43x = 4,655,527,322.97
  5. Step 5: Solve for x
    x = 4,655,527,322.97/100,885.43
  6. Step 6: Final answer
    x = 46,146.68

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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.