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Finding the Fourth Proportional to 80,492.19, 120,710.95 and 27,889.40

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Solution

The fourth proportional to 80,492.19, 120,710.95 and 27,889.40 is: 41,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492.19 : 120,710.95 = 27,889.40 : x
  2. Step 2: Convert to fraction form
    80,492.19/120,710.95 = 27,889.40/x
  3. Step 3: Cross multiply
    80,492.19x = 120,710.95 × 27,889.40
  4. Step 4: Simplify right side
    80,492.19x = 3,366,555,968.93
  5. Step 5: Solve for x
    x = 3,366,555,968.93/80,492.19
  6. Step 6: Final answer
    x = 41,824.63

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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.