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Finding the Fourth Proportional to 100,219.98, 150,199.40 and 55,844.94

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Solution

The fourth proportional to 100,219.98, 150,199.40 and 55,844.94 is: 83,694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.98 : 150,199.40 = 55,844.94 : x
  2. Step 2: Convert to fraction form
    100,219.98/150,199.40 = 55,844.94/x
  3. Step 3: Cross multiply
    100,219.98x = 150,199.40 × 55,844.94
  4. Step 4: Simplify right side
    100,219.98x = 8,387,876,481.04
  5. Step 5: Solve for x
    x = 8,387,876,481.04/100,219.98
  6. Step 6: Final answer
    x = 83,694.65

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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.