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Finding the Fourth Proportional to 140,288.64, 193,590.48 and 79,874

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Solution

The fourth proportional to 140,288.64, 193,590.48 and 79,874 is: 110,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,288.64 : 193,590.48 = 79,874 : x
  2. Step 2: Convert to fraction form
    140,288.64/193,590.48 = 79,874/x
  3. Step 3: Cross multiply
    140,288.64x = 193,590.48 × 79,874
  4. Step 4: Simplify right side
    140,288.64x = 15,462,845,999.52
  5. Step 5: Solve for x
    x = 15,462,845,999.52/140,288.64
  6. Step 6: Final answer
    x = 110,221.65

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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.