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Finding the Fourth Proportional to 50,491.20, 69,620.40 and 41,388

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Solution

The fourth proportional to 50,491.20, 69,620.40 and 41,388 is: 57,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491.20 : 69,620.40 = 41,388 : x
  2. Step 2: Convert to fraction form
    50,491.20/69,620.40 = 41,388/x
  3. Step 3: Cross multiply
    50,491.20x = 69,620.40 × 41,388
  4. Step 4: Simplify right side
    50,491.20x = 2,881,449,115.20
  5. Step 5: Solve for x
    x = 2,881,449,115.20/50,491.20
  6. Step 6: Final answer
    x = 57,068.34

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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.