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Finding the Fourth Proportional to 199,539.64, 275,494.26 and 154,138.60

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Solution

The fourth proportional to 199,539.64, 275,494.26 and 154,138.60 is: 212,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,539.64 : 275,494.26 = 154,138.60 : x
  2. Step 2: Convert to fraction form
    199,539.64/275,494.26 = 154,138.60/x
  3. Step 3: Cross multiply
    199,539.64x = 275,494.26 × 154,138.60
  4. Step 4: Simplify right side
    199,539.64x = 42,464,299,544.44
  5. Step 5: Solve for x
    x = 42,464,299,544.44/199,539.64
  6. Step 6: Final answer
    x = 212,811.35

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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.