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Finding the Fourth Proportional to 214,533.81, 321,676.10 and 81,341.42

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Solution

The fourth proportional to 214,533.81, 321,676.10 and 81,341.42 is: 121,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,533.81 : 321,676.10 = 81,341.42 : x
  2. Step 2: Convert to fraction form
    214,533.81/321,676.10 = 81,341.42/x
  3. Step 3: Cross multiply
    214,533.81x = 321,676.10 × 81,341.42
  4. Step 4: Simplify right side
    214,533.81x = 26,165,588,738.97
  5. Step 5: Solve for x
    x = 26,165,588,738.97/214,533.81
  6. Step 6: Final answer
    x = 121,964.87

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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.