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Finding the Fourth Proportional to 259,917, 358,686.54 and 140,685

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Solution

The fourth proportional to 259,917, 358,686.54 and 140,685 is: 194,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,917 : 358,686.54 = 140,685 : x
  2. Step 2: Convert to fraction form
    259,917/358,686.54 = 140,685/x
  3. Step 3: Cross multiply
    259,917x = 358,686.54 × 140,685
  4. Step 4: Simplify right side
    259,917x = 50,461,815,879.90
  5. Step 5: Solve for x
    x = 50,461,815,879.90/259,917
  6. Step 6: Final answer
    x = 194,145.88

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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.