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Finding the Fourth Proportional to 200,149.46, 300,151.40 and 66,998.06

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Solution

The fourth proportional to 200,149.46, 300,151.40 and 66,998.06 is: 100,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,149.46 : 300,151.40 = 66,998.06 : x
  2. Step 2: Convert to fraction form
    200,149.46/300,151.40 = 66,998.06/x
  3. Step 3: Cross multiply
    200,149.46x = 300,151.40 × 66,998.06
  4. Step 4: Simplify right side
    200,149.46x = 20,109,561,828.71
  5. Step 5: Solve for x
    x = 20,109,561,828.71/200,149.46
  6. Step 6: Final answer
    x = 100,472.73

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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.