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Finding the Fourth Proportional to 198,780.32, 298,199.96 and 65,674.64

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Solution

The fourth proportional to 198,780.32, 298,199.96 and 65,674.64 is: 98,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,780.32 : 298,199.96 = 65,674.64 : x
  2. Step 2: Convert to fraction form
    198,780.32/298,199.96 = 65,674.64/x
  3. Step 3: Cross multiply
    198,780.32x = 298,199.96 × 65,674.64
  4. Step 4: Simplify right side
    198,780.32x = 19,584,175,021.01
  5. Step 5: Solve for x
    x = 19,584,175,021.01/198,780.32
  6. Step 6: Final answer
    x = 98,521.70

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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.