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Finding the Fourth Proportional to 100,462.94, 150,722.94 and 81,918.38

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Solution

The fourth proportional to 100,462.94, 150,722.94 and 81,918.38 is: 122,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,462.94 : 150,722.94 = 81,918.38 : x
  2. Step 2: Convert to fraction form
    100,462.94/150,722.94 = 81,918.38/x
  3. Step 3: Cross multiply
    100,462.94x = 150,722.94 × 81,918.38
  4. Step 4: Simplify right side
    100,462.94x = 12,346,979,073.64
  5. Step 5: Solve for x
    x = 12,346,979,073.64/100,462.94
  6. Step 6: Final answer
    x = 122,900.83

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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.