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Finding the Fourth Proportional to 203,983.13, 306,007.47 and 85,688.30

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Solution

The fourth proportional to 203,983.13, 306,007.47 and 85,688.30 is: 128,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,983.13 : 306,007.47 = 85,688.30 : x
  2. Step 2: Convert to fraction form
    203,983.13/306,007.47 = 85,688.30/x
  3. Step 3: Cross multiply
    203,983.13x = 306,007.47 × 85,688.30
  4. Step 4: Simplify right side
    203,983.13x = 26,221,258,361.56
  5. Step 5: Solve for x
    x = 26,221,258,361.56/203,983.13
  6. Step 6: Final answer
    x = 128,546.21

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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.