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Finding the Fourth Proportional to 142,080.96, 213,053.44 and 67,138.56

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Solution

The fourth proportional to 142,080.96, 213,053.44 and 67,138.56 is: 100,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,080.96 : 213,053.44 = 67,138.56 : x
  2. Step 2: Convert to fraction form
    142,080.96/213,053.44 = 67,138.56/x
  3. Step 3: Cross multiply
    142,080.96x = 213,053.44 × 67,138.56
  4. Step 4: Simplify right side
    142,080.96x = 14,304,101,164.65
  5. Step 5: Solve for x
    x = 14,304,101,164.65/142,080.96
  6. Step 6: Final answer
    x = 100,675.71

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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.