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Finding the Fourth Proportional to 213,991.92, 321,041.25 and 64,234.98

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Solution

The fourth proportional to 213,991.92, 321,041.25 and 64,234.98 is: 96,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,991.92 : 321,041.25 = 64,234.98 : x
  2. Step 2: Convert to fraction form
    213,991.92/321,041.25 = 64,234.98/x
  3. Step 3: Cross multiply
    213,991.92x = 321,041.25 × 64,234.98
  4. Step 4: Simplify right side
    213,991.92x = 20,622,078,272.93
  5. Step 5: Solve for x
    x = 20,622,078,272.93/213,991.92
  6. Step 6: Final answer
    x = 96,368.49

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1.5x scale

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.