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Finding the Fourth Proportional to 198,956.61, 298,471.83 and 65,838

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Solution

The fourth proportional to 198,956.61, 298,471.83 and 65,838 is: 98,769.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,956.61 : 298,471.83 = 65,838 : x
  2. Step 2: Convert to fraction form
    198,956.61/298,471.83 = 65,838/x
  3. Step 3: Cross multiply
    198,956.61x = 298,471.83 × 65,838
  4. Step 4: Simplify right side
    198,956.61x = 19,650,788,343.54
  5. Step 5: Solve for x
    x = 19,650,788,343.54/198,956.61
  6. Step 6: Final answer
    x = 98,769.22

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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.