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Finding the Fourth Proportional to 140,565.64, 193,961.46 and 83,965

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Solution

The fourth proportional to 140,565.64, 193,961.46 and 83,965 is: 115,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,565.64 : 193,961.46 = 83,965 : x
  2. Step 2: Convert to fraction form
    140,565.64/193,961.46 = 83,965/x
  3. Step 3: Cross multiply
    140,565.64x = 193,961.46 × 83,965
  4. Step 4: Simplify right side
    140,565.64x = 16,285,973,988.90
  5. Step 5: Solve for x
    x = 16,285,973,988.90/140,565.64
  6. Step 6: Final answer
    x = 115,860.28

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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.