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Finding the Fourth Proportional to 71,503.88, 107,284.07 and 27,142.40

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Solution

The fourth proportional to 71,503.88, 107,284.07 and 27,142.40 is: 40,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,503.88 : 107,284.07 = 27,142.40 : x
  2. Step 2: Convert to fraction form
    71,503.88/107,284.07 = 27,142.40/x
  3. Step 3: Cross multiply
    71,503.88x = 107,284.07 × 27,142.40
  4. Step 4: Simplify right side
    71,503.88x = 2,911,946,469.44
  5. Step 5: Solve for x
    x = 2,911,946,469.44/71,503.88
  6. Step 6: Final answer
    x = 40,724.32

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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.