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Finding the Fourth Proportional to 214,500.62, 321,750.90 and 74,259.20

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Solution

The fourth proportional to 214,500.62, 321,750.90 and 74,259.20 is: 111,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,500.62 : 321,750.90 = 74,259.20 : x
  2. Step 2: Convert to fraction form
    214,500.62/321,750.90 = 74,259.20/x
  3. Step 3: Cross multiply
    214,500.62x = 321,750.90 × 74,259.20
  4. Step 4: Simplify right side
    214,500.62x = 23,892,964,433.28
  5. Step 5: Solve for x
    x = 23,892,964,433.28/214,500.62
  6. Step 6: Final answer
    x = 111,388.79

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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.