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Finding the Fourth Proportional to 214,736.52, 322,231.50 and 81,728.76

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Solution

The fourth proportional to 214,736.52, 322,231.50 and 81,728.76 is: 122,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,736.52 : 322,231.50 = 81,728.76 : x
  2. Step 2: Convert to fraction form
    214,736.52/322,231.50 = 81,728.76/x
  3. Step 3: Cross multiply
    214,736.52x = 322,231.50 × 81,728.76
  4. Step 4: Simplify right side
    214,736.52x = 26,335,580,927.94
  5. Step 5: Solve for x
    x = 26,335,580,927.94/214,736.52
  6. Step 6: Final answer
    x = 122,641.37

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1.5x scale

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.