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Finding the Fourth Proportional to 109,644.20, 164,531.10 and 79,987.40

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Solution

The fourth proportional to 109,644.20, 164,531.10 and 79,987.40 is: 120,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,644.20 : 164,531.10 = 79,987.40 : x
  2. Step 2: Convert to fraction form
    109,644.20/164,531.10 = 79,987.40/x
  3. Step 3: Cross multiply
    109,644.20x = 164,531.10 × 79,987.40
  4. Step 4: Simplify right side
    109,644.20x = 13,160,414,908.14
  5. Step 5: Solve for x
    x = 13,160,414,908.14/109,644.20
  6. Step 6: Final answer
    x = 120,028.37

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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.