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Finding the Fourth Proportional to 236,017.92, 353,950.32 and 78,204

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Solution

The fourth proportional to 236,017.92, 353,950.32 and 78,204 is: 117,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,017.92 : 353,950.32 = 78,204 : x
  2. Step 2: Convert to fraction form
    236,017.92/353,950.32 = 78,204/x
  3. Step 3: Cross multiply
    236,017.92x = 353,950.32 × 78,204
  4. Step 4: Simplify right side
    236,017.92x = 27,680,330,825.28
  5. Step 5: Solve for x
    x = 27,680,330,825.28/236,017.92
  6. Step 6: Final answer
    x = 117,280.63

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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.