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Finding the Fourth Proportional to 109,121.49, 163,722.21 and 45,957.51

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Solution

The fourth proportional to 109,121.49, 163,722.21 and 45,957.51 is: 68,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,121.49 : 163,722.21 = 45,957.51 : x
  2. Step 2: Convert to fraction form
    109,121.49/163,722.21 = 45,957.51/x
  3. Step 3: Cross multiply
    109,121.49x = 163,722.21 × 45,957.51
  4. Step 4: Simplify right side
    109,121.49x = 7,524,265,103.30
  5. Step 5: Solve for x
    x = 7,524,265,103.30/109,121.49
  6. Step 6: Final answer
    x = 68,953.10

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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.