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Finding the Fourth Proportional to 106,658, 159,962.38 and 31,771.36

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Solution

The fourth proportional to 106,658, 159,962.38 and 31,771.36 is: 47,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,658 : 159,962.38 = 31,771.36 : x
  2. Step 2: Convert to fraction form
    106,658/159,962.38 = 31,771.36/x
  3. Step 3: Cross multiply
    106,658x = 159,962.38 × 31,771.36
  4. Step 4: Simplify right side
    106,658x = 5,082,222,361.44
  5. Step 5: Solve for x
    x = 5,082,222,361.44/106,658
  6. Step 6: Final answer
    x = 47,649.71

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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.