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Finding the Fourth Proportional to 100,107.78, 150,117.38 and 29,974.02

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Solution

The fourth proportional to 100,107.78, 150,117.38 and 29,974.02 is: 44,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,107.78 : 150,117.38 = 29,974.02 : x
  2. Step 2: Convert to fraction form
    100,107.78/150,117.38 = 29,974.02/x
  3. Step 3: Cross multiply
    100,107.78x = 150,117.38 × 29,974.02
  4. Step 4: Simplify right side
    100,107.78x = 4,499,621,350.47
  5. Step 5: Solve for x
    x = 4,499,621,350.47/100,107.78
  6. Step 6: Final answer
    x = 44,947.77

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1.5x scale

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.