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Finding the Fourth Proportional to 214,887.29, 322,470.80 and 81,768.65

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Solution

The fourth proportional to 214,887.29, 322,470.80 and 81,768.65 is: 122,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,887.29 : 322,470.80 = 81,768.65 : x
  2. Step 2: Convert to fraction form
    214,887.29/322,470.80 = 81,768.65/x
  3. Step 3: Cross multiply
    214,887.29x = 322,470.80 × 81,768.65
  4. Step 4: Simplify right side
    214,887.29x = 26,368,001,980.42
  5. Step 5: Solve for x
    x = 26,368,001,980.42/214,887.29
  6. Step 6: Final answer
    x = 122,706.20

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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.