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Finding the Fourth Proportional to 214,408.65, 321,603.77 and 72,244.54

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Solution

The fourth proportional to 214,408.65, 321,603.77 and 72,244.54 is: 108,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,408.65 : 321,603.77 = 72,244.54 : x
  2. Step 2: Convert to fraction form
    214,408.65/321,603.77 = 72,244.54/x
  3. Step 3: Cross multiply
    214,408.65x = 321,603.77 × 72,244.54
  4. Step 4: Simplify right side
    214,408.65x = 23,234,116,602.16
  5. Step 5: Solve for x
    x = 23,234,116,602.16/214,408.65
  6. Step 6: Final answer
    x = 108,363.71

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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.