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Finding the Fourth Proportional to 228,394.86, 342,615.10 and 78,615.33

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Solution

The fourth proportional to 228,394.86, 342,615.10 and 78,615.33 is: 117,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,394.86 : 342,615.10 = 78,615.33 : x
  2. Step 2: Convert to fraction form
    228,394.86/342,615.10 = 78,615.33/x
  3. Step 3: Cross multiply
    228,394.86x = 342,615.10 × 78,615.33
  4. Step 4: Simplify right side
    228,394.86x = 26,934,799,149.48
  5. Step 5: Solve for x
    x = 26,934,799,149.48/228,394.86
  6. Step 6: Final answer
    x = 117,930.85

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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.