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Finding the Fourth Proportional to 199,399.20, 298,842.84 and 87,048.96

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Solution

The fourth proportional to 199,399.20, 298,842.84 and 87,048.96 is: 130,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,399.20 : 298,842.84 = 87,048.96 : x
  2. Step 2: Convert to fraction form
    199,399.20/298,842.84 = 87,048.96/x
  3. Step 3: Cross multiply
    199,399.20x = 298,842.84 × 87,048.96
  4. Step 4: Simplify right side
    199,399.20x = 26,013,958,425.45
  5. Step 5: Solve for x
    x = 26,013,958,425.45/199,399.20
  6. Step 6: Final answer
    x = 130,461.70

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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.