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Finding the Fourth Proportional to 140,568.64, 193,965.58 and 83,968

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Solution

The fourth proportional to 140,568.64, 193,965.58 and 83,968 is: 115,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,568.64 : 193,965.58 = 83,968 : x
  2. Step 2: Convert to fraction form
    140,568.64/193,965.58 = 83,968/x
  3. Step 3: Cross multiply
    140,568.64x = 193,965.58 × 83,968
  4. Step 4: Simplify right side
    140,568.64x = 16,286,901,821.44
  5. Step 5: Solve for x
    x = 16,286,901,821.44/140,568.64
  6. Step 6: Final answer
    x = 115,864.40

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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.