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Finding the Fourth Proportional to 259,919, 358,689.30 and 140,687

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Solution

The fourth proportional to 259,919, 358,689.30 and 140,687 is: 194,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,919 : 358,689.30 = 140,687 : x
  2. Step 2: Convert to fraction form
    259,919/358,689.30 = 140,687/x
  3. Step 3: Cross multiply
    259,919x = 358,689.30 × 140,687
  4. Step 4: Simplify right side
    259,919x = 50,462,921,549.10
  5. Step 5: Solve for x
    x = 50,462,921,549.10/259,919
  6. Step 6: Final answer
    x = 194,148.64

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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.