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Finding the Fourth Proportional to 198,788.72, 298,278.86 and 98,957.70

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Solution

The fourth proportional to 198,788.72, 298,278.86 and 98,957.70 is: 148,484.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,788.72 : 298,278.86 = 98,957.70 : x
  2. Step 2: Convert to fraction form
    198,788.72/298,278.86 = 98,957.70/x
  3. Step 3: Cross multiply
    198,788.72x = 298,278.86 × 98,957.70
  4. Step 4: Simplify right side
    198,788.72x = 29,516,989,449.43
  5. Step 5: Solve for x
    x = 29,516,989,449.43/198,788.72
  6. Step 6: Final answer
    x = 148,484.23

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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.