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Finding the Fourth Proportional to 213,327.70, 319,991.52 and 63,564.10

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Solution

The fourth proportional to 213,327.70, 319,991.52 and 63,564.10 is: 95,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,327.70 : 319,991.52 = 63,564.10 : x
  2. Step 2: Convert to fraction form
    213,327.70/319,991.52 = 63,564.10/x
  3. Step 3: Cross multiply
    213,327.70x = 319,991.52 × 63,564.10
  4. Step 4: Simplify right side
    213,327.70x = 20,339,972,976.43
  5. Step 5: Solve for x
    x = 20,339,972,976.43/213,327.70
  6. Step 6: Final answer
    x = 95,346.14

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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.