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Finding the Fourth Proportional to 214,009.92, 320,898.24 and 89,256.96

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Solution

The fourth proportional to 214,009.92, 320,898.24 and 89,256.96 is: 133,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,009.92 : 320,898.24 = 89,256.96 : x
  2. Step 2: Convert to fraction form
    214,009.92/320,898.24 = 89,256.96/x
  3. Step 3: Cross multiply
    214,009.92x = 320,898.24 × 89,256.96
  4. Step 4: Simplify right side
    214,009.92x = 28,642,401,371.75
  5. Step 5: Solve for x
    x = 28,642,401,371.75/214,009.92
  6. Step 6: Final answer
    x = 133,836.79

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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.