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Finding the Fourth Proportional to 189,393.06, 284,078.44 and 71,054.48

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Solution

The fourth proportional to 189,393.06, 284,078.44 and 71,054.48 is: 106,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,393.06 : 284,078.44 = 71,054.48 : x
  2. Step 2: Convert to fraction form
    189,393.06/284,078.44 = 71,054.48/x
  3. Step 3: Cross multiply
    189,393.06x = 284,078.44 × 71,054.48
  4. Step 4: Simplify right side
    189,393.06x = 20,185,045,833.41
  5. Step 5: Solve for x
    x = 20,185,045,833.41/189,393.06
  6. Step 6: Final answer
    x = 106,577.54

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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.