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Finding the Fourth Proportional to 149,093.67, 205,465.82 and 106,578.39

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Solution

The fourth proportional to 149,093.67, 205,465.82 and 106,578.39 is: 146,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,093.67 : 205,465.82 = 106,578.39 : x
  2. Step 2: Convert to fraction form
    149,093.67/205,465.82 = 106,578.39/x
  3. Step 3: Cross multiply
    149,093.67x = 205,465.82 × 106,578.39
  4. Step 4: Simplify right side
    149,093.67x = 21,898,214,735.41
  5. Step 5: Solve for x
    x = 21,898,214,735.41/149,093.67
  6. Step 6: Final answer
    x = 146,875.55

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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.