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Finding the Fourth Proportional to 77,181.66, 115,705.94 and 29,829.97

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Solution

The fourth proportional to 77,181.66, 115,705.94 and 29,829.97 is: 44,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,181.66 : 115,705.94 = 29,829.97 : x
  2. Step 2: Convert to fraction form
    77,181.66/115,705.94 = 29,829.97/x
  3. Step 3: Cross multiply
    77,181.66x = 115,705.94 × 29,829.97
  4. Step 4: Simplify right side
    77,181.66x = 3,451,504,714.50
  5. Step 5: Solve for x
    x = 3,451,504,714.50/77,181.66
  6. Step 6: Final answer
    x = 44,719.23

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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.