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Finding the Fourth Proportional to 74,493.42, 111,739.84 and 30,119.64

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Solution

The fourth proportional to 74,493.42, 111,739.84 and 30,119.64 is: 45,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,493.42 : 111,739.84 = 30,119.64 : x
  2. Step 2: Convert to fraction form
    74,493.42/111,739.84 = 30,119.64/x
  3. Step 3: Cross multiply
    74,493.42x = 111,739.84 × 30,119.64
  4. Step 4: Simplify right side
    74,493.42x = 3,365,563,754.46
  5. Step 5: Solve for x
    x = 3,365,563,754.46/74,493.42
  6. Step 6: Final answer
    x = 45,179.34

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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.