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Finding the Fourth Proportional to 213,270.75, 319,905.21 and 86,882.81

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Solution

The fourth proportional to 213,270.75, 319,905.21 and 86,882.81 is: 130,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,270.75 : 319,905.21 = 86,882.81 : x
  2. Step 2: Convert to fraction form
    213,270.75/319,905.21 = 86,882.81/x
  3. Step 3: Cross multiply
    213,270.75x = 319,905.21 × 86,882.81
  4. Step 4: Simplify right side
    213,270.75x = 27,794,261,978.91
  5. Step 5: Solve for x
    x = 27,794,261,978.91/213,270.75
  6. Step 6: Final answer
    x = 130,323.83

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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.