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Finding the Fourth Proportional to 214,304.92, 321,459.81 and 81,149.02

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Solution

The fourth proportional to 214,304.92, 321,459.81 and 81,149.02 is: 121,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,304.92 : 321,459.81 = 81,149.02 : x
  2. Step 2: Convert to fraction form
    214,304.92/321,459.81 = 81,149.02/x
  3. Step 3: Cross multiply
    214,304.92x = 321,459.81 × 81,149.02
  4. Step 4: Simplify right side
    214,304.92x = 26,086,148,550.89
  5. Step 5: Solve for x
    x = 26,086,148,550.89/214,304.92
  6. Step 6: Final answer
    x = 121,724.45

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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.