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Finding the Fourth Proportional to 204,586.56, 306,695.16 and 86,265

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Solution

The fourth proportional to 204,586.56, 306,695.16 and 86,265 is: 129,319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,586.56 : 306,695.16 = 86,265 : x
  2. Step 2: Convert to fraction form
    204,586.56/306,695.16 = 86,265/x
  3. Step 3: Cross multiply
    204,586.56x = 306,695.16 × 86,265
  4. Step 4: Simplify right side
    204,586.56x = 26,457,057,977.40
  5. Step 5: Solve for x
    x = 26,457,057,977.40/204,586.56
  6. Step 6: Final answer
    x = 129,319.63

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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.