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Finding the Fourth Proportional to 147,930, 221,895 and 49,434

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Solution

The fourth proportional to 147,930, 221,895 and 49,434 is: 74,151

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,930 : 221,895 = 49,434 : x
  2. Step 2: Convert to fraction form
    147,930/221,895 = 49,434/x
  3. Step 3: Cross multiply
    147,930x = 221,895 × 49,434
  4. Step 4: Simplify right side
    147,930x = 10,969,157,430
  5. Step 5: Solve for x
    x = 10,969,157,430/147,930
  6. Step 6: Final answer
    x = 74,151

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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.