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Finding the Fourth Proportional to 198,047.76, 297,149.44 and 87,162

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Solution

The fourth proportional to 198,047.76, 297,149.44 and 87,162 is: 130,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,047.76 : 297,149.44 = 87,162 : x
  2. Step 2: Convert to fraction form
    198,047.76/297,149.44 = 87,162/x
  3. Step 3: Cross multiply
    198,047.76x = 297,149.44 × 87,162
  4. Step 4: Simplify right side
    198,047.76x = 25,900,139,489.28
  5. Step 5: Solve for x
    x = 25,900,139,489.28/198,047.76
  6. Step 6: Final answer
    x = 130,777.24

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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.