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Finding the Fourth Proportional to 186,711.40, 280,034.70 and 68,321.80

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Solution

The fourth proportional to 186,711.40, 280,034.70 and 68,321.80 is: 102,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,711.40 : 280,034.70 = 68,321.80 : x
  2. Step 2: Convert to fraction form
    186,711.40/280,034.70 = 68,321.80/x
  3. Step 3: Cross multiply
    186,711.40x = 280,034.70 × 68,321.80
  4. Step 4: Simplify right side
    186,711.40x = 19,132,474,766.46
  5. Step 5: Solve for x
    x = 19,132,474,766.46/186,711.40
  6. Step 6: Final answer
    x = 102,470.84

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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.