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Finding the Fourth Proportional to 199,474.74, 299,161.89 and 99,562.86

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Solution

The fourth proportional to 199,474.74, 299,161.89 and 99,562.86 is: 149,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,474.74 : 299,161.89 = 99,562.86 : x
  2. Step 2: Convert to fraction form
    199,474.74/299,161.89 = 99,562.86/x
  3. Step 3: Cross multiply
    199,474.74x = 299,161.89 × 99,562.86
  4. Step 4: Simplify right side
    199,474.74x = 29,785,413,371.41
  5. Step 5: Solve for x
    x = 29,785,413,371.41/199,474.74
  6. Step 6: Final answer
    x = 149,319.22

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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.