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Finding the Fourth Proportional to 114,021.81, 170,845.74 and 80,578.53

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Solution

The fourth proportional to 114,021.81, 170,845.74 and 80,578.53 is: 120,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,021.81 : 170,845.74 = 80,578.53 : x
  2. Step 2: Convert to fraction form
    114,021.81/170,845.74 = 80,578.53/x
  3. Step 3: Cross multiply
    114,021.81x = 170,845.74 × 80,578.53
  4. Step 4: Simplify right side
    114,021.81x = 13,766,498,585.96
  5. Step 5: Solve for x
    x = 13,766,498,585.96/114,021.81
  6. Step 6: Final answer
    x = 120,735.66

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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.