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Finding the Fourth Proportional to 255,175.92, 382,750.92 and 77,679

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Solution

The fourth proportional to 255,175.92, 382,750.92 and 77,679 is: 116,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,175.92 : 382,750.92 = 77,679 : x
  2. Step 2: Convert to fraction form
    255,175.92/382,750.92 = 77,679/x
  3. Step 3: Cross multiply
    255,175.92x = 382,750.92 × 77,679
  4. Step 4: Simplify right side
    255,175.92x = 29,731,708,714.68
  5. Step 5: Solve for x
    x = 29,731,708,714.68/255,175.92
  6. Step 6: Final answer
    x = 116,514.55

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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.