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Finding the Fourth Proportional to 140,579.64, 193,980.78 and 83,979

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Solution

The fourth proportional to 140,579.64, 193,980.78 and 83,979 is: 115,879.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,579.64 : 193,980.78 = 83,979 : x
  2. Step 2: Convert to fraction form
    140,579.64/193,980.78 = 83,979/x
  3. Step 3: Cross multiply
    140,579.64x = 193,980.78 × 83,979
  4. Step 4: Simplify right side
    140,579.64x = 16,290,311,923.62
  5. Step 5: Solve for x
    x = 16,290,311,923.62/140,579.64
  6. Step 6: Final answer
    x = 115,879.60

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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.