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Finding the Fourth Proportional to 67,019.66, 100,499.96 and 31,491.09

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Solution

The fourth proportional to 67,019.66, 100,499.96 and 31,491.09 is: 47,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,019.66 : 100,499.96 = 31,491.09 : x
  2. Step 2: Convert to fraction form
    67,019.66/100,499.96 = 31,491.09/x
  3. Step 3: Cross multiply
    67,019.66x = 100,499.96 × 31,491.09
  4. Step 4: Simplify right side
    67,019.66x = 3,164,853,285.36
  5. Step 5: Solve for x
    x = 3,164,853,285.36/67,019.66
  6. Step 6: Final answer
    x = 47,222.76

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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.