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Finding the Fourth Proportional to 214,921.40, 322,446.90 and 115,129.40

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Solution

The fourth proportional to 214,921.40, 322,446.90 and 115,129.40 is: 172,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,921.40 : 322,446.90 = 115,129.40 : x
  2. Step 2: Convert to fraction form
    214,921.40/322,446.90 = 115,129.40/x
  3. Step 3: Cross multiply
    214,921.40x = 322,446.90 × 115,129.40
  4. Step 4: Simplify right side
    214,921.40x = 37,123,118,128.86
  5. Step 5: Solve for x
    x = 37,123,118,128.86/214,921.40
  6. Step 6: Final answer
    x = 172,728.81

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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.