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Finding the Fourth Proportional to 213,649.88, 320,667.42 and 113,893.16

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Solution

The fourth proportional to 213,649.88, 320,667.42 and 113,893.16 is: 170,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,649.88 : 320,667.42 = 113,893.16 : x
  2. Step 2: Convert to fraction form
    213,649.88/320,667.42 = 113,893.16/x
  3. Step 3: Cross multiply
    213,649.88x = 320,667.42 × 113,893.16
  4. Step 4: Simplify right side
    213,649.88x = 36,521,825,772.85
  5. Step 5: Solve for x
    x = 36,521,825,772.85/213,649.88
  6. Step 6: Final answer
    x = 170,942.41

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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.