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Finding the Fourth Proportional to 80,492, 120,738 and 27,901.48

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Solution

The fourth proportional to 80,492, 120,738 and 27,901.48 is: 41,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492 : 120,738 = 27,901.48 : x
  2. Step 2: Convert to fraction form
    80,492/120,738 = 27,901.48/x
  3. Step 3: Cross multiply
    80,492x = 120,738 × 27,901.48
  4. Step 4: Simplify right side
    80,492x = 3,368,768,892.24
  5. Step 5: Solve for x
    x = 3,368,768,892.24/80,492
  6. Step 6: Final answer
    x = 41,852.22

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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.