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Finding the Fourth Proportional to 161,912.30, 242,540.40 and 91,709.60

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Solution

The fourth proportional to 161,912.30, 242,540.40 and 91,709.60 is: 137,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,912.30 : 242,540.40 = 91,709.60 : x
  2. Step 2: Convert to fraction form
    161,912.30/242,540.40 = 91,709.60/x
  3. Step 3: Cross multiply
    161,912.30x = 242,540.40 × 91,709.60
  4. Step 4: Simplify right side
    161,912.30x = 22,243,283,067.84
  5. Step 5: Solve for x
    x = 22,243,283,067.84/161,912.30
  6. Step 6: Final answer
    x = 137,378.59

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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.