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Finding the Fourth Proportional to 228,821.88, 343,093.86 and 102,438.12

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Solution

The fourth proportional to 228,821.88, 343,093.86 and 102,438.12 is: 153,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,821.88 : 343,093.86 = 102,438.12 : x
  2. Step 2: Convert to fraction form
    228,821.88/343,093.86 = 102,438.12/x
  3. Step 3: Cross multiply
    228,821.88x = 343,093.86 × 102,438.12
  4. Step 4: Simplify right side
    228,821.88x = 35,145,890,001.94
  5. Step 5: Solve for x
    x = 35,145,890,001.94/228,821.88
  6. Step 6: Final answer
    x = 153,594.97

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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.