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Finding the Fourth Proportional to 76,353, 114,531.66 and 20,949

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Solution

The fourth proportional to 76,353, 114,531.66 and 20,949 is: 31,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,353 : 114,531.66 = 20,949 : x
  2. Step 2: Convert to fraction form
    76,353/114,531.66 = 20,949/x
  3. Step 3: Cross multiply
    76,353x = 114,531.66 × 20,949
  4. Step 4: Simplify right side
    76,353x = 2,399,323,745.34
  5. Step 5: Solve for x
    x = 2,399,323,745.34/76,353
  6. Step 6: Final answer
    x = 31,424.09

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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.