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Finding the Fourth Proportional to 192,233.06, 288,348.54 and 78,380.42

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Solution

The fourth proportional to 192,233.06, 288,348.54 and 78,380.42 is: 117,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,233.06 : 288,348.54 = 78,380.42 : x
  2. Step 2: Convert to fraction form
    192,233.06/288,348.54 = 78,380.42/x
  3. Step 3: Cross multiply
    192,233.06x = 288,348.54 × 78,380.42
  4. Step 4: Simplify right side
    192,233.06x = 22,600,879,671.59
  5. Step 5: Solve for x
    x = 22,600,879,671.59/192,233.06
  6. Step 6: Final answer
    x = 117,570.20

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1.5x scale

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.