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Finding the Fourth Proportional to 198,661.76, 298,188.48 and 145,923.20

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Solution

The fourth proportional to 198,661.76, 298,188.48 and 145,923.20 is: 219,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,661.76 : 298,188.48 = 145,923.20 : x
  2. Step 2: Convert to fraction form
    198,661.76/298,188.48 = 145,923.20/x
  3. Step 3: Cross multiply
    198,661.76x = 298,188.48 × 145,923.20
  4. Step 4: Simplify right side
    198,661.76x = 43,512,617,204.74
  5. Step 5: Solve for x
    x = 43,512,617,204.74/198,661.76
  6. Step 6: Final answer
    x = 219,028.65

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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.