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Finding the Fourth Proportional to 109,604.90, 164,079.30 and 103,116.80

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Solution

The fourth proportional to 109,604.90, 164,079.30 and 103,116.80 is: 154,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,604.90 : 164,079.30 = 103,116.80 : x
  2. Step 2: Convert to fraction form
    109,604.90/164,079.30 = 103,116.80/x
  3. Step 3: Cross multiply
    109,604.90x = 164,079.30 × 103,116.80
  4. Step 4: Simplify right side
    109,604.90x = 16,919,332,362.24
  5. Step 5: Solve for x
    x = 16,919,332,362.24/109,604.90
  6. Step 6: Final answer
    x = 154,366.57

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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.