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Finding the Fourth Proportional to 100,965.72, 151,448.56 and 34,371.56

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Solution

The fourth proportional to 100,965.72, 151,448.56 and 34,371.56 is: 51,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,965.72 : 151,448.56 = 34,371.56 : x
  2. Step 2: Convert to fraction form
    100,965.72/151,448.56 = 34,371.56/x
  3. Step 3: Cross multiply
    100,965.72x = 151,448.56 × 34,371.56
  4. Step 4: Simplify right side
    100,965.72x = 5,205,523,266.95
  5. Step 5: Solve for x
    x = 5,205,523,266.95/100,965.72
  6. Step 6: Final answer
    x = 51,557.33

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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.