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Finding the Fourth Proportional to 51,480.40, 71,043.50 and 30,260

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Solution

The fourth proportional to 51,480.40, 71,043.50 and 30,260 is: 41,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,480.40 : 71,043.50 = 30,260 : x
  2. Step 2: Convert to fraction form
    51,480.40/71,043.50 = 30,260/x
  3. Step 3: Cross multiply
    51,480.40x = 71,043.50 × 30,260
  4. Step 4: Simplify right side
    51,480.40x = 2,149,776,310
  5. Step 5: Solve for x
    x = 2,149,776,310/51,480.40
  6. Step 6: Final answer
    x = 41,759.12

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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.