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Finding the Fourth Proportional to 100,972.72, 151,477.02 and 33,508.78

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Solution

The fourth proportional to 100,972.72, 151,477.02 and 33,508.78 is: 50,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,972.72 : 151,477.02 = 33,508.78 : x
  2. Step 2: Convert to fraction form
    100,972.72/151,477.02 = 33,508.78/x
  3. Step 3: Cross multiply
    100,972.72x = 151,477.02 × 33,508.78
  4. Step 4: Simplify right side
    100,972.72x = 5,075,810,138.24
  5. Step 5: Solve for x
    x = 5,075,810,138.24/100,972.72
  6. Step 6: Final answer
    x = 50,269.12

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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.