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Finding the Fourth Proportional to 51,491.16, 71,021.10 and 47,255.88

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Solution

The fourth proportional to 51,491.16, 71,021.10 and 47,255.88 is: 65,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,491.16 : 71,021.10 = 47,255.88 : x
  2. Step 2: Convert to fraction form
    51,491.16/71,021.10 = 47,255.88/x
  3. Step 3: Cross multiply
    51,491.16x = 71,021.10 × 47,255.88
  4. Step 4: Simplify right side
    51,491.16x = 3,356,164,579.07
  5. Step 5: Solve for x
    x = 3,356,164,579.07/51,491.16
  6. Step 6: Final answer
    x = 65,179.43

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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.