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Finding the Fourth Proportional to 146,428.35, 202,081.40 and 82,766.67

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Solution

The fourth proportional to 146,428.35, 202,081.40 and 82,766.67 is: 114,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,428.35 : 202,081.40 = 82,766.67 : x
  2. Step 2: Convert to fraction form
    146,428.35/202,081.40 = 82,766.67/x
  3. Step 3: Cross multiply
    146,428.35x = 202,081.40 × 82,766.67
  4. Step 4: Simplify right side
    146,428.35x = 16,725,604,546.94
  5. Step 5: Solve for x
    x = 16,725,604,546.94/146,428.35
  6. Step 6: Final answer
    x = 114,223.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.