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Finding the Fourth Proportional to 268,093.80, 402,194.70 and 78,553.80

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Solution

The fourth proportional to 268,093.80, 402,194.70 and 78,553.80 is: 117,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,093.80 : 402,194.70 = 78,553.80 : x
  2. Step 2: Convert to fraction form
    268,093.80/402,194.70 = 78,553.80/x
  3. Step 3: Cross multiply
    268,093.80x = 402,194.70 × 78,553.80
  4. Step 4: Simplify right side
    268,093.80x = 31,593,922,024.86
  5. Step 5: Solve for x
    x = 31,593,922,024.86/268,093.80
  6. Step 6: Final answer
    x = 117,846.52

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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.