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Finding the Fourth Proportional to 186,161.67, 278,978.51 and 77,974.48

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Solution

The fourth proportional to 186,161.67, 278,978.51 and 77,974.48 is: 116,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,161.67 : 278,978.51 = 77,974.48 : x
  2. Step 2: Convert to fraction form
    186,161.67/278,978.51 = 77,974.48/x
  3. Step 3: Cross multiply
    186,161.67x = 278,978.51 × 77,974.48
  4. Step 4: Simplify right side
    186,161.67x = 21,753,202,853.53
  5. Step 5: Solve for x
    x = 21,753,202,853.53/186,161.67
  6. Step 6: Final answer
    x = 116,851.14

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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.