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Finding the Fourth Proportional to 251,757.94, 347,431.61 and 142,869.43

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Solution

The fourth proportional to 251,757.94, 347,431.61 and 142,869.43 is: 197,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,757.94 : 347,431.61 = 142,869.43 : x
  2. Step 2: Convert to fraction form
    251,757.94/347,431.61 = 142,869.43/x
  3. Step 3: Cross multiply
    251,757.94x = 347,431.61 × 142,869.43
  4. Step 4: Simplify right side
    251,757.94x = 49,637,355,573.28
  5. Step 5: Solve for x
    x = 49,637,355,573.28/251,757.94
  6. Step 6: Final answer
    x = 197,163.02

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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.