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Finding the Fourth Proportional to 251,761.76, 347,438.51 and 137,047.85

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Solution

The fourth proportional to 251,761.76, 347,438.51 and 137,047.85 is: 189,129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,761.76 : 347,438.51 = 137,047.85 : x
  2. Step 2: Convert to fraction form
    251,761.76/347,438.51 = 137,047.85/x
  3. Step 3: Cross multiply
    251,761.76x = 347,438.51 × 137,047.85
  4. Step 4: Simplify right side
    251,761.76x = 47,615,698,380.27
  5. Step 5: Solve for x
    x = 47,615,698,380.27/251,761.76
  6. Step 6: Final answer
    x = 189,129.99

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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.