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Finding the Fourth Proportional to 188,142.70, 282,213.87 and 81,439.24

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Solution

The fourth proportional to 188,142.70, 282,213.87 and 81,439.24 is: 122,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,142.70 : 282,213.87 = 81,439.24 : x
  2. Step 2: Convert to fraction form
    188,142.70/282,213.87 = 81,439.24/x
  3. Step 3: Cross multiply
    188,142.70x = 282,213.87 × 81,439.24
  4. Step 4: Simplify right side
    188,142.70x = 22,983,283,090.26
  5. Step 5: Solve for x
    x = 22,983,283,090.26/188,142.70
  6. Step 6: Final answer
    x = 122,158.78

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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.