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Finding the Fourth Proportional to 106,138.20, 159,202.10 and 39,573.14

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Solution

The fourth proportional to 106,138.20, 159,202.10 and 39,573.14 is: 59,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,138.20 : 159,202.10 = 39,573.14 : x
  2. Step 2: Convert to fraction form
    106,138.20/159,202.10 = 39,573.14/x
  3. Step 3: Cross multiply
    106,138.20x = 159,202.10 × 39,573.14
  4. Step 4: Simplify right side
    106,138.20x = 6,300,126,195.58
  5. Step 5: Solve for x
    x = 6,300,126,195.58/106,138.20
  6. Step 6: Final answer
    x = 59,357.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.