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Finding the Fourth Proportional to 203,430.90, 305,194.95 and 98,163.30

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Solution

The fourth proportional to 203,430.90, 305,194.95 and 98,163.30 is: 147,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,430.90 : 305,194.95 = 98,163.30 : x
  2. Step 2: Convert to fraction form
    203,430.90/305,194.95 = 98,163.30/x
  3. Step 3: Cross multiply
    203,430.90x = 305,194.95 × 98,163.30
  4. Step 4: Simplify right side
    203,430.90x = 29,958,943,435.34
  5. Step 5: Solve for x
    x = 29,958,943,435.34/203,430.90
  6. Step 6: Final answer
    x = 147,268.40

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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.