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Finding the Fourth Proportional to 51,494.40, 71,062.80 and 30,274

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Solution

The fourth proportional to 51,494.40, 71,062.80 and 30,274 is: 41,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,494.40 : 71,062.80 = 30,274 : x
  2. Step 2: Convert to fraction form
    51,494.40/71,062.80 = 30,274/x
  3. Step 3: Cross multiply
    51,494.40x = 71,062.80 × 30,274
  4. Step 4: Simplify right side
    51,494.40x = 2,151,355,207.20
  5. Step 5: Solve for x
    x = 2,151,355,207.20/51,494.40
  6. Step 6: Final answer
    x = 41,778.43

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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.