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Finding the Fourth Proportional to 111,682, 154,121.16 and 61,381

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Solution

The fourth proportional to 111,682, 154,121.16 and 61,381 is: 84,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,682 : 154,121.16 = 61,381 : x
  2. Step 2: Convert to fraction form
    111,682/154,121.16 = 61,381/x
  3. Step 3: Cross multiply
    111,682x = 154,121.16 × 61,381
  4. Step 4: Simplify right side
    111,682x = 9,460,110,921.96
  5. Step 5: Solve for x
    x = 9,460,110,921.96/111,682
  6. Step 6: Final answer
    x = 84,705.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.