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Finding the Fourth Proportional to 100,907.64, 151,361.64 and 30,786.48

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Solution

The fourth proportional to 100,907.64, 151,361.64 and 30,786.48 is: 46,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,907.64 : 151,361.64 = 30,786.48 : x
  2. Step 2: Convert to fraction form
    100,907.64/151,361.64 = 30,786.48/x
  3. Step 3: Cross multiply
    100,907.64x = 151,361.64 × 30,786.48
  4. Step 4: Simplify right side
    100,907.64x = 4,659,892,102.63
  5. Step 5: Solve for x
    x = 4,659,892,102.63/100,907.64
  6. Step 6: Final answer
    x = 46,179.77

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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.