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Finding the Fourth Proportional to 186,750, 257,715 and 119,682

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Solution

The fourth proportional to 186,750, 257,715 and 119,682 is: 165,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,750 : 257,715 = 119,682 : x
  2. Step 2: Convert to fraction form
    186,750/257,715 = 119,682/x
  3. Step 3: Cross multiply
    186,750x = 257,715 × 119,682
  4. Step 4: Simplify right side
    186,750x = 30,843,846,630
  5. Step 5: Solve for x
    x = 30,843,846,630/186,750
  6. Step 6: Final answer
    x = 165,161.16

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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.