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Finding the Fourth Proportional to 257,745.24, 386,525.16 and 89,219.88

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Solution

The fourth proportional to 257,745.24, 386,525.16 and 89,219.88 is: 133,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,745.24 : 386,525.16 = 89,219.88 : x
  2. Step 2: Convert to fraction form
    257,745.24/386,525.16 = 89,219.88/x
  3. Step 3: Cross multiply
    257,745.24x = 386,525.16 × 89,219.88
  4. Step 4: Simplify right side
    257,745.24x = 34,485,728,392.18
  5. Step 5: Solve for x
    x = 34,485,728,392.18/257,745.24
  6. Step 6: Final answer
    x = 133,797.73

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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.