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Finding the Fourth Proportional to 204,592.56, 306,704.16 and 86,271

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Solution

The fourth proportional to 204,592.56, 306,704.16 and 86,271 is: 129,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,592.56 : 306,704.16 = 86,271 : x
  2. Step 2: Convert to fraction form
    204,592.56/306,704.16 = 86,271/x
  3. Step 3: Cross multiply
    204,592.56x = 306,704.16 × 86,271
  4. Step 4: Simplify right side
    204,592.56x = 26,459,674,587.36
  5. Step 5: Solve for x
    x = 26,459,674,587.36/204,592.56
  6. Step 6: Final answer
    x = 129,328.63

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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.