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Finding the Fourth Proportional to 52,010.88, 77,986.22 and 20,383.98

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Solution

The fourth proportional to 52,010.88, 77,986.22 and 20,383.98 is: 30,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010.88 : 77,986.22 = 20,383.98 : x
  2. Step 2: Convert to fraction form
    52,010.88/77,986.22 = 20,383.98/x
  3. Step 3: Cross multiply
    52,010.88x = 77,986.22 × 20,383.98
  4. Step 4: Simplify right side
    52,010.88x = 1,589,669,446.84
  5. Step 5: Solve for x
    x = 1,589,669,446.84/52,010.88
  6. Step 6: Final answer
    x = 30,564.17

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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.