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Finding the Fourth Proportional to 228,571.17, 342,879.30 and 78,791.74

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Solution

The fourth proportional to 228,571.17, 342,879.30 and 78,791.74 is: 118,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,571.17 : 342,879.30 = 78,791.74 : x
  2. Step 2: Convert to fraction form
    228,571.17/342,879.30 = 78,791.74/x
  3. Step 3: Cross multiply
    228,571.17x = 342,879.30 × 78,791.74
  4. Step 4: Simplify right side
    228,571.17x = 27,016,056,656.98
  5. Step 5: Solve for x
    x = 27,016,056,656.98/228,571.17
  6. Step 6: Final answer
    x = 118,195.38

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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.