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Finding the Fourth Proportional to 255,223.87, 382,853.42 and 86,675.42

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Solution

The fourth proportional to 255,223.87, 382,853.42 and 86,675.42 is: 130,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,223.87 : 382,853.42 = 86,675.42 : x
  2. Step 2: Convert to fraction form
    255,223.87/382,853.42 = 86,675.42/x
  3. Step 3: Cross multiply
    255,223.87x = 382,853.42 × 86,675.42
  4. Step 4: Simplify right side
    255,223.87x = 33,183,981,825.73
  5. Step 5: Solve for x
    x = 33,183,981,825.73/255,223.87
  6. Step 6: Final answer
    x = 130,019.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.