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Finding the Fourth Proportional to 109,902.20, 164,853.30 and 100,279.40

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Solution

The fourth proportional to 109,902.20, 164,853.30 and 100,279.40 is: 150,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,902.20 : 164,853.30 = 100,279.40 : x
  2. Step 2: Convert to fraction form
    109,902.20/164,853.30 = 100,279.40/x
  3. Step 3: Cross multiply
    109,902.20x = 164,853.30 × 100,279.40
  4. Step 4: Simplify right side
    109,902.20x = 16,531,390,012.02
  5. Step 5: Solve for x
    x = 16,531,390,012.02/109,902.20
  6. Step 6: Final answer
    x = 150,419.10

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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.