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Finding the Fourth Proportional to 123,284, 170,481.84 and 117,714.44

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Solution

The fourth proportional to 123,284, 170,481.84 and 117,714.44 is: 162,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,284 : 170,481.84 = 117,714.44 : x
  2. Step 2: Convert to fraction form
    123,284/170,481.84 = 117,714.44/x
  3. Step 3: Cross multiply
    123,284x = 170,481.84 × 117,714.44
  4. Step 4: Simplify right side
    123,284x = 20,068,174,325.77
  5. Step 5: Solve for x
    x = 20,068,174,325.77/123,284
  6. Step 6: Final answer
    x = 162,780.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.