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Finding the Fourth Proportional to 128,080, 192,121.08 and 44,974

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Solution

The fourth proportional to 128,080, 192,121.08 and 44,974 is: 67,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,080 : 192,121.08 = 44,974 : x
  2. Step 2: Convert to fraction form
    128,080/192,121.08 = 44,974/x
  3. Step 3: Cross multiply
    128,080x = 192,121.08 × 44,974
  4. Step 4: Simplify right side
    128,080x = 8,640,453,451.92
  5. Step 5: Solve for x
    x = 8,640,453,451.92/128,080
  6. Step 6: Final answer
    x = 67,461.38

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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.