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Finding the Fourth Proportional to 228,469.23, 342,726.80 and 78,689.79

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Solution

The fourth proportional to 228,469.23, 342,726.80 and 78,689.79 is: 118,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,469.23 : 342,726.80 = 78,689.79 : x
  2. Step 2: Convert to fraction form
    228,469.23/342,726.80 = 78,689.79/x
  3. Step 3: Cross multiply
    228,469.23x = 342,726.80 × 78,689.79
  4. Step 4: Simplify right side
    228,469.23x = 26,969,099,525.92
  5. Step 5: Solve for x
    x = 26,969,099,525.92/228,469.23
  6. Step 6: Final answer
    x = 118,042.59

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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.