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Finding the Fourth Proportional to 203,980.92, 306,091.24 and 85,643.16

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Solution

The fourth proportional to 203,980.92, 306,091.24 and 85,643.16 is: 128,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,980.92 : 306,091.24 = 85,643.16 : x
  2. Step 2: Convert to fraction form
    203,980.92/306,091.24 = 85,643.16/x
  3. Step 3: Cross multiply
    203,980.92x = 306,091.24 × 85,643.16
  4. Step 4: Simplify right side
    203,980.92x = 26,214,621,041.92
  5. Step 5: Solve for x
    x = 26,214,621,041.92/203,980.92
  6. Step 6: Final answer
    x = 128,515.06

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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.