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Finding the Fourth Proportional to 76,221, 114,331.91 and 20,817

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Solution

The fourth proportional to 76,221, 114,331.91 and 20,817 is: 31,225.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,221 : 114,331.91 = 20,817 : x
  2. Step 2: Convert to fraction form
    76,221/114,331.91 = 20,817/x
  3. Step 3: Cross multiply
    76,221x = 114,331.91 × 20,817
  4. Step 4: Simplify right side
    76,221x = 2,380,047,266.39
  5. Step 5: Solve for x
    x = 2,380,047,266.39/76,221
  6. Step 6: Final answer
    x = 31,225.61

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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.