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Finding the Fourth Proportional to 181,606, 272,409 and 50,278

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Solution

The fourth proportional to 181,606, 272,409 and 50,278 is: 75,417

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,606 : 272,409 = 50,278 : x
  2. Step 2: Convert to fraction form
    181,606/272,409 = 50,278/x
  3. Step 3: Cross multiply
    181,606x = 272,409 × 50,278
  4. Step 4: Simplify right side
    181,606x = 13,696,179,702
  5. Step 5: Solve for x
    x = 13,696,179,702/181,606
  6. Step 6: Final answer
    x = 75,417

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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.