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Finding the Fourth Proportional to 106,462.75, 159,361.96 and 78,414.47

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Solution

The fourth proportional to 106,462.75, 159,361.96 and 78,414.47 is: 117,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462.75 : 159,361.96 = 78,414.47 : x
  2. Step 2: Convert to fraction form
    106,462.75/159,361.96 = 78,414.47/x
  3. Step 3: Cross multiply
    106,462.75x = 159,361.96 × 78,414.47
  4. Step 4: Simplify right side
    106,462.75x = 12,496,283,239.49
  5. Step 5: Solve for x
    x = 12,496,283,239.49/106,462.75
  6. Step 6: Final answer
    x = 117,377.05

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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.