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Finding the Fourth Proportional to 69,857.16, 104,786.82 and 38,889.24

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Solution

The fourth proportional to 69,857.16, 104,786.82 and 38,889.24 is: 58,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,857.16 : 104,786.82 = 38,889.24 : x
  2. Step 2: Convert to fraction form
    69,857.16/104,786.82 = 38,889.24/x
  3. Step 3: Cross multiply
    69,857.16x = 104,786.82 × 38,889.24
  4. Step 4: Simplify right side
    69,857.16x = 4,075,079,791.82
  5. Step 5: Solve for x
    x = 4,075,079,791.82/69,857.16
  6. Step 6: Final answer
    x = 58,334.46

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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.