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Finding the Fourth Proportional to 214,989.60, 322,362.90 and 81,874.20

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Solution

The fourth proportional to 214,989.60, 322,362.90 and 81,874.20 is: 122,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,989.60 : 322,362.90 = 81,874.20 : x
  2. Step 2: Convert to fraction form
    214,989.60/322,362.90 = 81,874.20/x
  3. Step 3: Cross multiply
    214,989.60x = 322,362.90 × 81,874.20
  4. Step 4: Simplify right side
    214,989.60x = 26,393,204,547.18
  5. Step 5: Solve for x
    x = 26,393,204,547.18/214,989.60
  6. Step 6: Final answer
    x = 122,765.03

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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.