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Finding the Fourth Proportional to 109,912.45, 164,819.40 and 43,318.30

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Solution

The fourth proportional to 109,912.45, 164,819.40 and 43,318.30 is: 64,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,912.45 : 164,819.40 = 43,318.30 : x
  2. Step 2: Convert to fraction form
    109,912.45/164,819.40 = 43,318.30/x
  3. Step 3: Cross multiply
    109,912.45x = 164,819.40 × 43,318.30
  4. Step 4: Simplify right side
    109,912.45x = 7,139,696,215.02
  5. Step 5: Solve for x
    x = 7,139,696,215.02/109,912.45
  6. Step 6: Final answer
    x = 64,958.03

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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.