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Finding the Fourth Proportional to 198,709.48, 298,111.58 and 58,472.68

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Solution

The fourth proportional to 198,709.48, 298,111.58 and 58,472.68 is: 87,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,709.48 : 298,111.58 = 58,472.68 : x
  2. Step 2: Convert to fraction form
    198,709.48/298,111.58 = 58,472.68/x
  3. Step 3: Cross multiply
    198,709.48x = 298,111.58 × 58,472.68
  4. Step 4: Simplify right side
    198,709.48x = 17,431,383,021.63
  5. Step 5: Solve for x
    x = 17,431,383,021.63/198,709.48
  6. Step 6: Final answer
    x = 87,722.96

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1.5x scale

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.