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Finding the Fourth Proportional to 143,021.20, 214,531.80 and 36,404.95

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Solution

The fourth proportional to 143,021.20, 214,531.80 and 36,404.95 is: 54,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,021.20 : 214,531.80 = 36,404.95 : x
  2. Step 2: Convert to fraction form
    143,021.20/214,531.80 = 36,404.95/x
  3. Step 3: Cross multiply
    143,021.20x = 214,531.80 × 36,404.95
  4. Step 4: Simplify right side
    143,021.20x = 7,810,019,452.41
  5. Step 5: Solve for x
    x = 7,810,019,452.41/143,021.20
  6. Step 6: Final answer
    x = 54,607.43

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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.