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Finding the Fourth Proportional to 75,409, 113,063.58 and 35,972.20

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Solution

The fourth proportional to 75,409, 113,063.58 and 35,972.20 is: 53,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,409 : 113,063.58 = 35,972.20 : x
  2. Step 2: Convert to fraction form
    75,409/113,063.58 = 35,972.20/x
  3. Step 3: Cross multiply
    75,409x = 113,063.58 × 35,972.20
  4. Step 4: Simplify right side
    75,409x = 4,067,145,712.48
  5. Step 5: Solve for x
    x = 4,067,145,712.48/75,409
  6. Step 6: Final answer
    x = 53,934.49

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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.