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Finding the Fourth Proportional to 251,986.77, 347,745.92 and 138,809.61

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Solution

The fourth proportional to 251,986.77, 347,745.92 and 138,809.61 is: 191,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,986.77 : 347,745.92 = 138,809.61 : x
  2. Step 2: Convert to fraction form
    251,986.77/347,745.92 = 138,809.61/x
  3. Step 3: Cross multiply
    251,986.77x = 347,745.92 × 138,809.61
  4. Step 4: Simplify right side
    251,986.77x = 48,270,474,840.24
  5. Step 5: Solve for x
    x = 48,270,474,840.24/251,986.77
  6. Step 6: Final answer
    x = 191,559.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.