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Finding the Fourth Proportional to 132,964.32, 199,388 and 49,800

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Solution

The fourth proportional to 132,964.32, 199,388 and 49,800 is: 74,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,964.32 : 199,388 = 49,800 : x
  2. Step 2: Convert to fraction form
    132,964.32/199,388 = 49,800/x
  3. Step 3: Cross multiply
    132,964.32x = 199,388 × 49,800
  4. Step 4: Simplify right side
    132,964.32x = 9,929,522,400
  5. Step 5: Solve for x
    x = 9,929,522,400/132,964.32
  6. Step 6: Final answer
    x = 74,678.10

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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.