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Finding the Fourth Proportional to 213,778.94, 320,659.21 and 56,003.90

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Solution

The fourth proportional to 213,778.94, 320,659.21 and 56,003.90 is: 84,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,778.94 : 320,659.21 = 56,003.90 : x
  2. Step 2: Convert to fraction form
    213,778.94/320,659.21 = 56,003.90/x
  3. Step 3: Cross multiply
    213,778.94x = 320,659.21 × 56,003.90
  4. Step 4: Simplify right side
    213,778.94x = 17,958,166,330.92
  5. Step 5: Solve for x
    x = 17,958,166,330.92/213,778.94
  6. Step 6: Final answer
    x = 84,003.44

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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.