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Finding the Fourth Proportional to 236,163.92, 354,153.80 and 78,350

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Solution

The fourth proportional to 236,163.92, 354,153.80 and 78,350 is: 117,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,163.92 : 354,153.80 = 78,350 : x
  2. Step 2: Convert to fraction form
    236,163.92/354,153.80 = 78,350/x
  3. Step 3: Cross multiply
    236,163.92x = 354,153.80 × 78,350
  4. Step 4: Simplify right side
    236,163.92x = 27,747,950,230
  5. Step 5: Solve for x
    x = 27,747,950,230/236,163.92
  6. Step 6: Final answer
    x = 117,494.45

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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.