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Finding the Fourth Proportional to 254,860.28, 351,714.84 and 140,133

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Solution

The fourth proportional to 254,860.28, 351,714.84 and 140,133 is: 193,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,860.28 : 351,714.84 = 140,133 : x
  2. Step 2: Convert to fraction form
    254,860.28/351,714.84 = 140,133/x
  3. Step 3: Cross multiply
    254,860.28x = 351,714.84 × 140,133
  4. Step 4: Simplify right side
    254,860.28x = 49,286,855,673.72
  5. Step 5: Solve for x
    x = 49,286,855,673.72/254,860.28
  6. Step 6: Final answer
    x = 193,387.75

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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.