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Finding the Fourth Proportional to 185,544, 278,445.60 and 74,736

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Solution

The fourth proportional to 185,544, 278,445.60 and 74,736 is: 112,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,544 : 278,445.60 = 74,736 : x
  2. Step 2: Convert to fraction form
    185,544/278,445.60 = 74,736/x
  3. Step 3: Cross multiply
    185,544x = 278,445.60 × 74,736
  4. Step 4: Simplify right side
    185,544x = 20,809,910,361.60
  5. Step 5: Solve for x
    x = 20,809,910,361.60/185,544
  6. Step 6: Final answer
    x = 112,156.20

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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.