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Finding the Fourth Proportional to 214,684.83, 322,027.25 and 81,533.79

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Solution

The fourth proportional to 214,684.83, 322,027.25 and 81,533.79 is: 122,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,684.83 : 322,027.25 = 81,533.79 : x
  2. Step 2: Convert to fraction form
    214,684.83/322,027.25 = 81,533.79/x
  3. Step 3: Cross multiply
    214,684.83x = 322,027.25 × 81,533.79
  4. Step 4: Simplify right side
    214,684.83x = 26,256,101,768.11
  5. Step 5: Solve for x
    x = 26,256,101,768.11/214,684.83
  6. Step 6: Final answer
    x = 122,300.69

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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.