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Finding the Fourth Proportional to 100,619.92, 138,858.16 and 55,299.20

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Solution

The fourth proportional to 100,619.92, 138,858.16 and 55,299.20 is: 76,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,619.92 : 138,858.16 = 55,299.20 : x
  2. Step 2: Convert to fraction form
    100,619.92/138,858.16 = 55,299.20/x
  3. Step 3: Cross multiply
    100,619.92x = 138,858.16 × 55,299.20
  4. Step 4: Simplify right side
    100,619.92x = 7,678,745,161.47
  5. Step 5: Solve for x
    x = 7,678,745,161.47/100,619.92
  6. Step 6: Final answer
    x = 76,314.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.