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Finding the Fourth Proportional to 228,393.86, 342,613.60 and 78,614.33

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Solution

The fourth proportional to 228,393.86, 342,613.60 and 78,614.33 is: 117,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,393.86 : 342,613.60 = 78,614.33 : x
  2. Step 2: Convert to fraction form
    228,393.86/342,613.60 = 78,614.33/x
  3. Step 3: Cross multiply
    228,393.86x = 342,613.60 × 78,614.33
  4. Step 4: Simplify right side
    228,393.86x = 26,934,336,703.28
  5. Step 5: Solve for x
    x = 26,934,336,703.28/228,393.86
  6. Step 6: Final answer
    x = 117,929.34

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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.