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Finding the Fourth Proportional to 214,660.80, 322,298.40 and 121,348.80

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Solution

The fourth proportional to 214,660.80, 322,298.40 and 121,348.80 is: 182,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,660.80 : 322,298.40 = 121,348.80 : x
  2. Step 2: Convert to fraction form
    214,660.80/322,298.40 = 121,348.80/x
  3. Step 3: Cross multiply
    214,660.80x = 322,298.40 × 121,348.80
  4. Step 4: Simplify right side
    214,660.80x = 39,110,524,081.92
  5. Step 5: Solve for x
    x = 39,110,524,081.92/214,660.80
  6. Step 6: Final answer
    x = 182,196.86

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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.