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Finding the Fourth Proportional to 81,106.88, 111,768 and 62,008.22

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Solution

The fourth proportional to 81,106.88, 111,768 and 62,008.22 is: 85,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,106.88 : 111,768 = 62,008.22 : x
  2. Step 2: Convert to fraction form
    81,106.88/111,768 = 62,008.22/x
  3. Step 3: Cross multiply
    81,106.88x = 111,768 × 62,008.22
  4. Step 4: Simplify right side
    81,106.88x = 6,930,534,732.96
  5. Step 5: Solve for x
    x = 6,930,534,732.96/81,106.88
  6. Step 6: Final answer
    x = 85,449.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.