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Finding the Fourth Proportional to 52,143.76, 71,958.94 and 30,634.40

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Solution

The fourth proportional to 52,143.76, 71,958.94 and 30,634.40 is: 42,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,143.76 : 71,958.94 = 30,634.40 : x
  2. Step 2: Convert to fraction form
    52,143.76/71,958.94 = 30,634.40/x
  3. Step 3: Cross multiply
    52,143.76x = 71,958.94 × 30,634.40
  4. Step 4: Simplify right side
    52,143.76x = 2,204,419,141.01
  5. Step 5: Solve for x
    x = 2,204,419,141.01/52,143.76
  6. Step 6: Final answer
    x = 42,275.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.