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Finding the Fourth Proportional to 109,603.20, 164,469.60 and 79,946.40

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Solution

The fourth proportional to 109,603.20, 164,469.60 and 79,946.40 is: 119,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,603.20 : 164,469.60 = 79,946.40 : x
  2. Step 2: Convert to fraction form
    109,603.20/164,469.60 = 79,946.40/x
  3. Step 3: Cross multiply
    109,603.20x = 164,469.60 × 79,946.40
  4. Step 4: Simplify right side
    109,603.20x = 13,148,752,429.44
  5. Step 5: Solve for x
    x = 13,148,752,429.44/109,603.20
  6. Step 6: Final answer
    x = 119,966.87

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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.