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Finding the Fourth Proportional to 259,514, 358,129.80 and 140,282

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Solution

The fourth proportional to 259,514, 358,129.80 and 140,282 is: 193,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,514 : 358,129.80 = 140,282 : x
  2. Step 2: Convert to fraction form
    259,514/358,129.80 = 140,282/x
  3. Step 3: Cross multiply
    259,514x = 358,129.80 × 140,282
  4. Step 4: Simplify right side
    259,514x = 50,239,164,603.60
  5. Step 5: Solve for x
    x = 50,239,164,603.60/259,514
  6. Step 6: Final answer
    x = 193,589.42

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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.