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Finding the Fourth Proportional to 251,978.83, 347,731.73 and 138,801.31

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Solution

The fourth proportional to 251,978.83, 347,731.73 and 138,801.31 is: 191,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,978.83 : 347,731.73 = 138,801.31 : x
  2. Step 2: Convert to fraction form
    251,978.83/347,731.73 = 138,801.31/x
  3. Step 3: Cross multiply
    251,978.83x = 347,731.73 × 138,801.31
  4. Step 4: Simplify right side
    251,978.83x = 48,265,619,652.57
  5. Step 5: Solve for x
    x = 48,265,619,652.57/251,978.83
  6. Step 6: Final answer
    x = 191,546.33

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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.