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Finding the Fourth Proportional to 77,347.21, 116,020.91 and 21,187.80

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Solution

The fourth proportional to 77,347.21, 116,020.91 and 21,187.80 is: 31,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,347.21 : 116,020.91 = 21,187.80 : x
  2. Step 2: Convert to fraction form
    77,347.21/116,020.91 = 21,187.80/x
  3. Step 3: Cross multiply
    77,347.21x = 116,020.91 × 21,187.80
  4. Step 4: Simplify right side
    77,347.21x = 2,458,228,245.49
  5. Step 5: Solve for x
    x = 2,458,228,245.49/77,347.21
  6. Step 6: Final answer
    x = 31,781.73

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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.