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Finding the Fourth Proportional to 101,805.76, 152,634.80 and 68,443.12

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Solution

The fourth proportional to 101,805.76, 152,634.80 and 68,443.12 is: 102,615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805.76 : 152,634.80 = 68,443.12 : x
  2. Step 2: Convert to fraction form
    101,805.76/152,634.80 = 68,443.12/x
  3. Step 3: Cross multiply
    101,805.76x = 152,634.80 × 68,443.12
  4. Step 4: Simplify right side
    101,805.76x = 10,446,801,932.58
  5. Step 5: Solve for x
    x = 10,446,801,932.58/101,805.76
  6. Step 6: Final answer
    x = 102,615.04

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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.