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Finding the Fourth Proportional to 147,922, 221,883 and 49,426

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Solution

The fourth proportional to 147,922, 221,883 and 49,426 is: 74,139

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,922 : 221,883 = 49,426 : x
  2. Step 2: Convert to fraction form
    147,922/221,883 = 49,426/x
  3. Step 3: Cross multiply
    147,922x = 221,883 × 49,426
  4. Step 4: Simplify right side
    147,922x = 10,966,789,158
  5. Step 5: Solve for x
    x = 10,966,789,158/147,922
  6. Step 6: Final answer
    x = 74,139

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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.