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Finding the Fourth Proportional to 214,502.62, 321,753.90 and 74,261.20

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Solution

The fourth proportional to 214,502.62, 321,753.90 and 74,261.20 is: 111,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,502.62 : 321,753.90 = 74,261.20 : x
  2. Step 2: Convert to fraction form
    214,502.62/321,753.90 = 74,261.20/x
  3. Step 3: Cross multiply
    214,502.62x = 321,753.90 × 74,261.20
  4. Step 4: Simplify right side
    214,502.62x = 23,893,830,718.68
  5. Step 5: Solve for x
    x = 23,893,830,718.68/214,502.62
  6. Step 6: Final answer
    x = 111,391.79

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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.