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Finding the Fourth Proportional to 147,916, 221,874 and 49,420

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Solution

The fourth proportional to 147,916, 221,874 and 49,420 is: 74,130

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,916 : 221,874 = 49,420 : x
  2. Step 2: Convert to fraction form
    147,916/221,874 = 49,420/x
  3. Step 3: Cross multiply
    147,916x = 221,874 × 49,420
  4. Step 4: Simplify right side
    147,916x = 10,965,013,080
  5. Step 5: Solve for x
    x = 10,965,013,080/147,916
  6. Step 6: Final answer
    x = 74,130

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.