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Finding the Fourth Proportional to 147,942, 221,913 and 49,446

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Solution

The fourth proportional to 147,942, 221,913 and 49,446 is: 74,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,942 : 221,913 = 49,446 : x
  2. Step 2: Convert to fraction form
    147,942/221,913 = 49,446/x
  3. Step 3: Cross multiply
    147,942x = 221,913 × 49,446
  4. Step 4: Simplify right side
    147,942x = 10,972,710,198
  5. Step 5: Solve for x
    x = 10,972,710,198/147,942
  6. Step 6: Final answer
    x = 74,169

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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.