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Finding the Fourth Proportional to 228,579.54, 342,891.86 and 78,800.13

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Solution

The fourth proportional to 228,579.54, 342,891.86 and 78,800.13 is: 118,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,579.54 : 342,891.86 = 78,800.13 : x
  2. Step 2: Convert to fraction form
    228,579.54/342,891.86 = 78,800.13/x
  3. Step 3: Cross multiply
    228,579.54x = 342,891.86 × 78,800.13
  4. Step 4: Simplify right side
    228,579.54x = 27,019,922,749.94
  5. Step 5: Solve for x
    x = 27,019,922,749.94/228,579.54
  6. Step 6: Final answer
    x = 118,207.97

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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.