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Finding the Fourth Proportional to 71,695.44, 107,477.56 and 30,145.36

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Solution

The fourth proportional to 71,695.44, 107,477.56 and 30,145.36 is: 45,190.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.44 : 107,477.56 = 30,145.36 : x
  2. Step 2: Convert to fraction form
    71,695.44/107,477.56 = 30,145.36/x
  3. Step 3: Cross multiply
    71,695.44x = 107,477.56 × 30,145.36
  4. Step 4: Simplify right side
    71,695.44x = 3,239,949,738.12
  5. Step 5: Solve for x
    x = 3,239,949,738.12/71,695.44
  6. Step 6: Final answer
    x = 45,190.46

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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.