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Finding the Fourth Proportional to 214,896.90, 322,409.74 and 86,747.20

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Solution

The fourth proportional to 214,896.90, 322,409.74 and 86,747.20 is: 130,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,896.90 : 322,409.74 = 86,747.20 : x
  2. Step 2: Convert to fraction form
    214,896.90/322,409.74 = 86,747.20/x
  3. Step 3: Cross multiply
    214,896.90x = 322,409.74 × 86,747.20
  4. Step 4: Simplify right side
    214,896.90x = 27,968,142,197.73
  5. Step 5: Solve for x
    x = 27,968,142,197.73/214,896.90
  6. Step 6: Final answer
    x = 130,146.79

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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.