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Finding the Fourth Proportional to 75,969.36, 113,954.12 and 19,809.42

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Solution

The fourth proportional to 75,969.36, 113,954.12 and 19,809.42 is: 29,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969.36 : 113,954.12 = 19,809.42 : x
  2. Step 2: Convert to fraction form
    75,969.36/113,954.12 = 19,809.42/x
  3. Step 3: Cross multiply
    75,969.36x = 113,954.12 × 19,809.42
  4. Step 4: Simplify right side
    75,969.36x = 2,257,365,073.33
  5. Step 5: Solve for x
    x = 2,257,365,073.33/75,969.36
  6. Step 6: Final answer
    x = 29,714.15

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1.5x scale

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.