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Finding the Fourth Proportional to 186,766.96, 280,020.84 and 68,422

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Solution

The fourth proportional to 186,766.96, 280,020.84 and 68,422 is: 102,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,766.96 : 280,020.84 = 68,422 : x
  2. Step 2: Convert to fraction form
    186,766.96/280,020.84 = 68,422/x
  3. Step 3: Cross multiply
    186,766.96x = 280,020.84 × 68,422
  4. Step 4: Simplify right side
    186,766.96x = 19,159,585,914.48
  5. Step 5: Solve for x
    x = 19,159,585,914.48/186,766.96
  6. Step 6: Final answer
    x = 102,585.52

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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.