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Finding the Fourth Proportional to 199,846.71, 299,621.84 and 120,942.18

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Solution

The fourth proportional to 199,846.71, 299,621.84 and 120,942.18 is: 181,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,846.71 : 299,621.84 = 120,942.18 : x
  2. Step 2: Convert to fraction form
    199,846.71/299,621.84 = 120,942.18/x
  3. Step 3: Cross multiply
    199,846.71x = 299,621.84 × 120,942.18
  4. Step 4: Simplify right side
    199,846.71x = 36,236,917,900.50
  5. Step 5: Solve for x
    x = 36,236,917,900.50/199,846.71
  6. Step 6: Final answer
    x = 181,323.56

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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.