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Finding the Fourth Proportional to 214,882.38, 322,326.81 and 81,698.94

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Solution

The fourth proportional to 214,882.38, 322,326.81 and 81,698.94 is: 122,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,882.38 : 322,326.81 = 81,698.94 : x
  2. Step 2: Convert to fraction form
    214,882.38/322,326.81 = 81,698.94/x
  3. Step 3: Cross multiply
    214,882.38x = 322,326.81 × 81,698.94
  4. Step 4: Simplify right side
    214,882.38x = 26,333,758,710.58
  5. Step 5: Solve for x
    x = 26,333,758,710.58/214,882.38
  6. Step 6: Final answer
    x = 122,549.64

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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.