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Finding the Fourth Proportional to 255,981.76, 384,046.32 and 78,514.80

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Solution

The fourth proportional to 255,981.76, 384,046.32 and 78,514.80 is: 117,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,981.76 : 384,046.32 = 78,514.80 : x
  2. Step 2: Convert to fraction form
    255,981.76/384,046.32 = 78,514.80/x
  3. Step 3: Cross multiply
    255,981.76x = 384,046.32 × 78,514.80
  4. Step 4: Simplify right side
    255,981.76x = 30,153,320,005.54
  5. Step 5: Solve for x
    x = 30,153,320,005.54/255,981.76
  6. Step 6: Final answer
    x = 117,794.80

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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.