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Finding the Fourth Proportional to 213,221.76, 319,793.94 and 55,440.42

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Solution

The fourth proportional to 213,221.76, 319,793.94 and 55,440.42 is: 83,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,221.76 : 319,793.94 = 55,440.42 : x
  2. Step 2: Convert to fraction form
    213,221.76/319,793.94 = 55,440.42/x
  3. Step 3: Cross multiply
    213,221.76x = 319,793.94 × 55,440.42
  4. Step 4: Simplify right side
    213,221.76x = 17,729,510,347.05
  5. Step 5: Solve for x
    x = 17,729,510,347.05/213,221.76
  6. Step 6: Final answer
    x = 83,150.57

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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.