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Finding the Fourth Proportional to 259,918, 358,687.92 and 140,686

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Solution

The fourth proportional to 259,918, 358,687.92 and 140,686 is: 194,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,918 : 358,687.92 = 140,686 : x
  2. Step 2: Convert to fraction form
    259,918/358,687.92 = 140,686/x
  3. Step 3: Cross multiply
    259,918x = 358,687.92 × 140,686
  4. Step 4: Simplify right side
    259,918x = 50,462,368,713.12
  5. Step 5: Solve for x
    x = 50,462,368,713.12/259,918
  6. Step 6: Final answer
    x = 194,147.26

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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.