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Finding the Fourth Proportional to 206,012.42, 309,218.37 and 99,471.54

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Solution

The fourth proportional to 206,012.42, 309,218.37 and 99,471.54 is: 149,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,012.42 : 309,218.37 = 99,471.54 : x
  2. Step 2: Convert to fraction form
    206,012.42/309,218.37 = 99,471.54/x
  3. Step 3: Cross multiply
    206,012.42x = 309,218.37 × 99,471.54
  4. Step 4: Simplify right side
    206,012.42x = 30,758,427,460.19
  5. Step 5: Solve for x
    x = 30,758,427,460.19/206,012.42
  6. Step 6: Final answer
    x = 149,303.76

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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.