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Finding the Fourth Proportional to 100,186, 150,330.84 and 50,938

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Solution

The fourth proportional to 100,186, 150,330.84 and 50,938 is: 76,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,186 : 150,330.84 = 50,938 : x
  2. Step 2: Convert to fraction form
    100,186/150,330.84 = 50,938/x
  3. Step 3: Cross multiply
    100,186x = 150,330.84 × 50,938
  4. Step 4: Simplify right side
    100,186x = 7,657,552,327.92
  5. Step 5: Solve for x
    x = 7,657,552,327.92/100,186
  6. Step 6: Final answer
    x = 76,433.36

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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.