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Finding the Fourth Proportional to 51,129.63, 76,694.72 and 17,849.57

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Solution

The fourth proportional to 51,129.63, 76,694.72 and 17,849.57 is: 26,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,129.63 : 76,694.72 = 17,849.57 : x
  2. Step 2: Convert to fraction form
    51,129.63/76,694.72 = 17,849.57/x
  3. Step 3: Cross multiply
    51,129.63x = 76,694.72 × 17,849.57
  4. Step 4: Simplify right side
    51,129.63x = 1,368,967,300.55
  5. Step 5: Solve for x
    x = 1,368,967,300.55/51,129.63
  6. Step 6: Final answer
    x = 26,774.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.