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Finding the Fourth Proportional to 213,314.65, 320,018.11 and 63,567

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Solution

The fourth proportional to 213,314.65, 320,018.11 and 63,567 is: 95,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,314.65 : 320,018.11 = 63,567 : x
  2. Step 2: Convert to fraction form
    213,314.65/320,018.11 = 63,567/x
  3. Step 3: Cross multiply
    213,314.65x = 320,018.11 × 63,567
  4. Step 4: Simplify right side
    213,314.65x = 20,342,591,198.37
  5. Step 5: Solve for x
    x = 20,342,591,198.37/213,314.65
  6. Step 6: Final answer
    x = 95,364.25

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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.