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Finding the Fourth Proportional to 75,969.80, 113,954.78 and 19,809.86

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Solution

The fourth proportional to 75,969.80, 113,954.78 and 19,809.86 is: 29,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969.80 : 113,954.78 = 19,809.86 : x
  2. Step 2: Convert to fraction form
    75,969.80/113,954.78 = 19,809.86/x
  3. Step 3: Cross multiply
    75,969.80x = 113,954.78 × 19,809.86
  4. Step 4: Simplify right side
    75,969.80x = 2,257,428,238.13
  5. Step 5: Solve for x
    x = 2,257,428,238.13/75,969.80
  6. Step 6: Final answer
    x = 29,714.81

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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.