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Finding the Fourth Proportional to 109,385.20, 164,142.60 and 79,728.40

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Solution

The fourth proportional to 109,385.20, 164,142.60 and 79,728.40 is: 119,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,385.20 : 164,142.60 = 79,728.40 : x
  2. Step 2: Convert to fraction form
    109,385.20/164,142.60 = 79,728.40/x
  3. Step 3: Cross multiply
    109,385.20x = 164,142.60 × 79,728.40
  4. Step 4: Simplify right side
    109,385.20x = 13,086,826,869.84
  5. Step 5: Solve for x
    x = 13,086,826,869.84/109,385.20
  6. Step 6: Final answer
    x = 119,639.83

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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.