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Finding the Fourth Proportional to 100,039.86, 149,921.28 and 50,056.38

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Solution

The fourth proportional to 100,039.86, 149,921.28 and 50,056.38 is: 75,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,039.86 : 149,921.28 = 50,056.38 : x
  2. Step 2: Convert to fraction form
    100,039.86/149,921.28 = 50,056.38/x
  3. Step 3: Cross multiply
    100,039.86x = 149,921.28 × 50,056.38
  4. Step 4: Simplify right side
    100,039.86x = 7,504,516,561.77
  5. Step 5: Solve for x
    x = 7,504,516,561.77/100,039.86
  6. Step 6: Final answer
    x = 75,015.26

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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.