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Finding the Fourth Proportional to 198,807.93, 298,098.93 and 135,704.45

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Solution

The fourth proportional to 198,807.93, 298,098.93 and 135,704.45 is: 203,479.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,807.93 : 298,098.93 = 135,704.45 : x
  2. Step 2: Convert to fraction form
    198,807.93/298,098.93 = 135,704.45/x
  3. Step 3: Cross multiply
    198,807.93x = 298,098.93 × 135,704.45
  4. Step 4: Simplify right side
    198,807.93x = 40,453,349,850.74
  5. Step 5: Solve for x
    x = 40,453,349,850.74/198,807.93
  6. Step 6: Final answer
    x = 203,479.56

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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.