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Finding the Fourth Proportional to 179,992, 269,842.20 and 74,889.64

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Solution

The fourth proportional to 179,992, 269,842.20 and 74,889.64 is: 112,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,992 : 269,842.20 = 74,889.64 : x
  2. Step 2: Convert to fraction form
    179,992/269,842.20 = 74,889.64/x
  3. Step 3: Cross multiply
    179,992x = 269,842.20 × 74,889.64
  4. Step 4: Simplify right side
    179,992x = 20,208,385,214.81
  5. Step 5: Solve for x
    x = 20,208,385,214.81/179,992
  6. Step 6: Final answer
    x = 112,273.80

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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.