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Finding the Fourth Proportional to 140,563.64, 193,958.70 and 83,963

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Solution

The fourth proportional to 140,563.64, 193,958.70 and 83,963 is: 115,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,563.64 : 193,958.70 = 83,963 : x
  2. Step 2: Convert to fraction form
    140,563.64/193,958.70 = 83,963/x
  3. Step 3: Cross multiply
    140,563.64x = 193,958.70 × 83,963
  4. Step 4: Simplify right side
    140,563.64x = 16,285,354,328.10
  5. Step 5: Solve for x
    x = 16,285,354,328.10/140,563.64
  6. Step 6: Final answer
    x = 115,857.52

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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.