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Finding the Fourth Proportional to 192,663.70, 288,981.15 and 80,314.90

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Solution

The fourth proportional to 192,663.70, 288,981.15 and 80,314.90 is: 120,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,663.70 : 288,981.15 = 80,314.90 : x
  2. Step 2: Convert to fraction form
    192,663.70/288,981.15 = 80,314.90/x
  3. Step 3: Cross multiply
    192,663.70x = 288,981.15 × 80,314.90
  4. Step 4: Simplify right side
    192,663.70x = 23,209,492,164.14
  5. Step 5: Solve for x
    x = 23,209,492,164.14/192,663.70
  6. Step 6: Final answer
    x = 120,466.35

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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.