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Finding the Fourth Proportional to 51,728, 71,384.65 and 29,372

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Solution

The fourth proportional to 51,728, 71,384.65 and 29,372 is: 40,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728 : 71,384.65 = 29,372 : x
  2. Step 2: Convert to fraction form
    51,728/71,384.65 = 29,372/x
  3. Step 3: Cross multiply
    51,728x = 71,384.65 × 29,372
  4. Step 4: Simplify right side
    51,728x = 2,096,709,939.80
  5. Step 5: Solve for x
    x = 2,096,709,939.80/51,728
  6. Step 6: Final answer
    x = 40,533.37

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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.