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Finding the Fourth Proportional to 55,340.42, 76,369.42 and 31,467.09

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Solution

The fourth proportional to 55,340.42, 76,369.42 and 31,467.09 is: 43,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,340.42 : 76,369.42 = 31,467.09 : x
  2. Step 2: Convert to fraction form
    55,340.42/76,369.42 = 31,467.09/x
  3. Step 3: Cross multiply
    55,340.42x = 76,369.42 × 31,467.09
  4. Step 4: Simplify right side
    55,340.42x = 2,403,123,738.11
  5. Step 5: Solve for x
    x = 2,403,123,738.11/55,340.42
  6. Step 6: Final answer
    x = 43,424.39

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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.