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Finding the Fourth Proportional to 100,419.90, 138,583.44 and 55,099.86

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Solution

The fourth proportional to 100,419.90, 138,583.44 and 55,099.86 is: 76,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.90 : 138,583.44 = 55,099.86 : x
  2. Step 2: Convert to fraction form
    100,419.90/138,583.44 = 55,099.86/x
  3. Step 3: Cross multiply
    100,419.90x = 138,583.44 × 55,099.86
  4. Step 4: Simplify right side
    100,419.90x = 7,635,928,142.32
  5. Step 5: Solve for x
    x = 7,635,928,142.32/100,419.90
  6. Step 6: Final answer
    x = 76,039.99

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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.