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Finding the Fourth Proportional to 300,108, 450,166.32 and 78,492

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Solution

The fourth proportional to 300,108, 450,166.32 and 78,492 is: 117,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,108 : 450,166.32 = 78,492 : x
  2. Step 2: Convert to fraction form
    300,108/450,166.32 = 78,492/x
  3. Step 3: Cross multiply
    300,108x = 450,166.32 × 78,492
  4. Step 4: Simplify right side
    300,108x = 35,334,454,789.44
  5. Step 5: Solve for x
    x = 35,334,454,789.44/300,108
  6. Step 6: Final answer
    x = 117,739.13

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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.