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Finding the Fourth Proportional to 147,918, 221,877 and 49,422

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Solution

The fourth proportional to 147,918, 221,877 and 49,422 is: 74,133

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,918 : 221,877 = 49,422 : x
  2. Step 2: Convert to fraction form
    147,918/221,877 = 49,422/x
  3. Step 3: Cross multiply
    147,918x = 221,877 × 49,422
  4. Step 4: Simplify right side
    147,918x = 10,965,605,094
  5. Step 5: Solve for x
    x = 10,965,605,094/147,918
  6. Step 6: Final answer
    x = 74,133

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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.