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Finding the Fourth Proportional to 203,983.63, 306,008.22 and 85,688.80

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Solution

The fourth proportional to 203,983.63, 306,008.22 and 85,688.80 is: 128,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,983.63 : 306,008.22 = 85,688.80 : x
  2. Step 2: Convert to fraction form
    203,983.63/306,008.22 = 85,688.80/x
  3. Step 3: Cross multiply
    203,983.63x = 306,008.22 × 85,688.80
  4. Step 4: Simplify right side
    203,983.63x = 26,221,477,161.94
  5. Step 5: Solve for x
    x = 26,221,477,161.94/203,983.63
  6. Step 6: Final answer
    x = 128,546.97

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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.