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Finding the Fourth Proportional to 198,235.38, 273,565.65 and 107,591.47

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Solution

The fourth proportional to 198,235.38, 273,565.65 and 107,591.47 is: 148,476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,235.38 : 273,565.65 = 107,591.47 : x
  2. Step 2: Convert to fraction form
    198,235.38/273,565.65 = 107,591.47/x
  3. Step 3: Cross multiply
    198,235.38x = 273,565.65 × 107,591.47
  4. Step 4: Simplify right side
    198,235.38x = 29,433,331,683.37
  5. Step 5: Solve for x
    x = 29,433,331,683.37/198,235.38
  6. Step 6: Final answer
    x = 148,476.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.