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Finding the Fourth Proportional to 213,243.76, 319,843.67 and 71,073.68

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Solution

The fourth proportional to 213,243.76, 319,843.67 and 71,073.68 is: 106,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,243.76 : 319,843.67 = 71,073.68 : x
  2. Step 2: Convert to fraction form
    213,243.76/319,843.67 = 71,073.68/x
  3. Step 3: Cross multiply
    213,243.76x = 319,843.67 × 71,073.68
  4. Step 4: Simplify right side
    213,243.76x = 22,732,464,697.02
  5. Step 5: Solve for x
    x = 22,732,464,697.02/213,243.76
  6. Step 6: Final answer
    x = 106,603.19

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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.