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Finding the Fourth Proportional to 255,212, 382,849.26 and 86,760.08

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Solution

The fourth proportional to 255,212, 382,849.26 and 86,760.08 is: 130,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,212 : 382,849.26 = 86,760.08 : x
  2. Step 2: Convert to fraction form
    255,212/382,849.26 = 86,760.08/x
  3. Step 3: Cross multiply
    255,212x = 382,849.26 × 86,760.08
  4. Step 4: Simplify right side
    255,212x = 33,216,032,425.54
  5. Step 5: Solve for x
    x = 33,216,032,425.54/255,212
  6. Step 6: Final answer
    x = 130,150.75

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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.