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Finding the Fourth Proportional to 186,796, 257,778.48 and 119,728

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Solution

The fourth proportional to 186,796, 257,778.48 and 119,728 is: 165,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,796 : 257,778.48 = 119,728 : x
  2. Step 2: Convert to fraction form
    186,796/257,778.48 = 119,728/x
  3. Step 3: Cross multiply
    186,796x = 257,778.48 × 119,728
  4. Step 4: Simplify right side
    186,796x = 30,863,301,853.44
  5. Step 5: Solve for x
    x = 30,863,301,853.44/186,796
  6. Step 6: Final answer
    x = 165,224.64

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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.