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Finding the Fourth Proportional to 198,888.86, 298,303.65 and 65,769.82

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Solution

The fourth proportional to 198,888.86, 298,303.65 and 65,769.82 is: 98,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,888.86 : 298,303.65 = 65,769.82 : x
  2. Step 2: Convert to fraction form
    198,888.86/298,303.65 = 65,769.82/x
  3. Step 3: Cross multiply
    198,888.86x = 298,303.65 × 65,769.82
  4. Step 4: Simplify right side
    198,888.86x = 19,619,375,874.32
  5. Step 5: Solve for x
    x = 19,619,375,874.32/198,888.86
  6. Step 6: Final answer
    x = 98,644.92

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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.