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Finding the Fourth Proportional to 281,181.70, 421,774.15 and 114,969.70

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Solution

The fourth proportional to 281,181.70, 421,774.15 and 114,969.70 is: 172,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,181.70 : 421,774.15 = 114,969.70 : x
  2. Step 2: Convert to fraction form
    281,181.70/421,774.15 = 114,969.70/x
  3. Step 3: Cross multiply
    281,181.70x = 421,774.15 × 114,969.70
  4. Step 4: Simplify right side
    281,181.70x = 48,491,247,493.26
  5. Step 5: Solve for x
    x = 48,491,247,493.26/281,181.70
  6. Step 6: Final answer
    x = 172,455.20

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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.