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Finding the Fourth Proportional to 214,494.40, 321,644.40 and 81,330.40

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Solution

The fourth proportional to 214,494.40, 321,644.40 and 81,330.40 is: 121,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,494.40 : 321,644.40 = 81,330.40 : x
  2. Step 2: Convert to fraction form
    214,494.40/321,644.40 = 81,330.40/x
  3. Step 3: Cross multiply
    214,494.40x = 321,644.40 × 81,330.40
  4. Step 4: Simplify right side
    214,494.40x = 26,159,467,709.76
  5. Step 5: Solve for x
    x = 26,159,467,709.76/214,494.40
  6. Step 6: Final answer
    x = 121,958.74

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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.