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Finding the Fourth Proportional to 51,478.92, 71,034.30 and 30,250.44

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Solution

The fourth proportional to 51,478.92, 71,034.30 and 30,250.44 is: 41,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478.92 : 71,034.30 = 30,250.44 : x
  2. Step 2: Convert to fraction form
    51,478.92/71,034.30 = 30,250.44/x
  3. Step 3: Cross multiply
    51,478.92x = 71,034.30 × 30,250.44
  4. Step 4: Simplify right side
    51,478.92x = 2,148,818,830.09
  5. Step 5: Solve for x
    x = 2,148,818,830.09/51,478.92
  6. Step 6: Final answer
    x = 41,741.72

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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.