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Finding the Fourth Proportional to 51,554, 71,143.31 and 30,334.64

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Solution

The fourth proportional to 51,554, 71,143.31 and 30,334.64 is: 41,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,554 : 71,143.31 = 30,334.64 : x
  2. Step 2: Convert to fraction form
    51,554/71,143.31 = 30,334.64/x
  3. Step 3: Cross multiply
    51,554x = 71,143.31 × 30,334.64
  4. Step 4: Simplify right side
    51,554x = 2,158,106,697.26
  5. Step 5: Solve for x
    x = 2,158,106,697.26/51,554
  6. Step 6: Final answer
    x = 41,861.09

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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.