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Finding the Fourth Proportional to 54,798.70, 82,198.05 and 31,405.90

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Solution

The fourth proportional to 54,798.70, 82,198.05 and 31,405.90 is: 47,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798.70 : 82,198.05 = 31,405.90 : x
  2. Step 2: Convert to fraction form
    54,798.70/82,198.05 = 31,405.90/x
  3. Step 3: Cross multiply
    54,798.70x = 82,198.05 × 31,405.90
  4. Step 4: Simplify right side
    54,798.70x = 2,581,503,738.50
  5. Step 5: Solve for x
    x = 2,581,503,738.50/54,798.70
  6. Step 6: Final answer
    x = 47,108.85

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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.