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Finding the Fourth Proportional to 31,144.03, 42,978.62 and 16,996.86

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Solution

The fourth proportional to 31,144.03, 42,978.62 and 16,996.86 is: 23,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.03 : 42,978.62 = 16,996.86 : x
  2. Step 2: Convert to fraction form
    31,144.03/42,978.62 = 16,996.86/x
  3. Step 3: Cross multiply
    31,144.03x = 42,978.62 × 16,996.86
  4. Step 4: Simplify right side
    31,144.03x = 730,501,629.63
  5. Step 5: Solve for x
    x = 730,501,629.63/31,144.03
  6. Step 6: Final answer
    x = 23,455.59

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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.