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Finding the Fourth Proportional to 214,287.17, 321,475.71 and 81,164.48

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Solution

The fourth proportional to 214,287.17, 321,475.71 and 81,164.48 is: 121,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,287.17 : 321,475.71 = 81,164.48 : x
  2. Step 2: Convert to fraction form
    214,287.17/321,475.71 = 81,164.48/x
  3. Step 3: Cross multiply
    214,287.17x = 321,475.71 × 81,164.48
  4. Step 4: Simplify right side
    214,287.17x = 26,092,408,834.78
  5. Step 5: Solve for x
    x = 26,092,408,834.78/214,287.17
  6. Step 6: Final answer
    x = 121,763.75

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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.