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Finding the Fourth Proportional to 214,432, 321,604.16 and 81,266.40

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Solution

The fourth proportional to 214,432, 321,604.16 and 81,266.40 is: 121,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,432 : 321,604.16 = 81,266.40 : x
  2. Step 2: Convert to fraction form
    214,432/321,604.16 = 81,266.40/x
  3. Step 3: Cross multiply
    214,432x = 321,604.16 × 81,266.40
  4. Step 4: Simplify right side
    214,432x = 26,135,612,308.22
  5. Step 5: Solve for x
    x = 26,135,612,308.22/214,432
  6. Step 6: Final answer
    x = 121,882.99

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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.