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Finding the Fourth Proportional to 100,533.86, 138,737.68 and 55,212.78

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Solution

The fourth proportional to 100,533.86, 138,737.68 and 55,212.78 is: 76,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,533.86 : 138,737.68 = 55,212.78 : x
  2. Step 2: Convert to fraction form
    100,533.86/138,737.68 = 55,212.78/x
  3. Step 3: Cross multiply
    100,533.86x = 138,737.68 × 55,212.78
  4. Step 4: Simplify right side
    100,533.86x = 7,660,093,003.55
  5. Step 5: Solve for x
    x = 7,660,093,003.55/100,533.86
  6. Step 6: Final answer
    x = 76,194.16

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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.