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Finding the Fourth Proportional to 73,299.78, 109,964.52 and 31,179.78

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Solution

The fourth proportional to 73,299.78, 109,964.52 and 31,179.78 is: 46,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,299.78 : 109,964.52 = 31,179.78 : x
  2. Step 2: Convert to fraction form
    73,299.78/109,964.52 = 31,179.78/x
  3. Step 3: Cross multiply
    73,299.78x = 109,964.52 × 31,179.78
  4. Step 4: Simplify right side
    73,299.78x = 3,428,669,541.41
  5. Step 5: Solve for x
    x = 3,428,669,541.41/73,299.78
  6. Step 6: Final answer
    x = 46,775.99

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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.