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Finding the Fourth Proportional to 71,378.40, 107,067.60 and 29,825.40

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Solution

The fourth proportional to 71,378.40, 107,067.60 and 29,825.40 is: 44,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378.40 : 107,067.60 = 29,825.40 : x
  2. Step 2: Convert to fraction form
    71,378.40/107,067.60 = 29,825.40/x
  3. Step 3: Cross multiply
    71,378.40x = 107,067.60 × 29,825.40
  4. Step 4: Simplify right side
    71,378.40x = 3,193,333,997.04
  5. Step 5: Solve for x
    x = 3,193,333,997.04/71,378.40
  6. Step 6: Final answer
    x = 44,738.10

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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.