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Finding the Fourth Proportional to 51,548, 71,136.39 and 30,050.51

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Solution

The fourth proportional to 51,548, 71,136.39 and 30,050.51 is: 41,469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,548 : 71,136.39 = 30,050.51 : x
  2. Step 2: Convert to fraction form
    51,548/71,136.39 = 30,050.51/x
  3. Step 3: Cross multiply
    51,548x = 71,136.39 × 30,050.51
  4. Step 4: Simplify right side
    51,548x = 2,137,684,799.06
  5. Step 5: Solve for x
    x = 2,137,684,799.06/51,548
  6. Step 6: Final answer
    x = 41,469.79

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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.