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Finding the Fourth Proportional to 214,978.10, 322,467.15 and 136,181.30

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Solution

The fourth proportional to 214,978.10, 322,467.15 and 136,181.30 is: 204,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,978.10 : 322,467.15 = 136,181.30 : x
  2. Step 2: Convert to fraction form
    214,978.10/322,467.15 = 136,181.30/x
  3. Step 3: Cross multiply
    214,978.10x = 322,467.15 × 136,181.30
  4. Step 4: Simplify right side
    214,978.10x = 43,913,995,694.30
  5. Step 5: Solve for x
    x = 43,913,995,694.30/214,978.10
  6. Step 6: Final answer
    x = 204,271.95

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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.