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Finding the Fourth Proportional to 203,431.80, 305,147.70 and 98,261.40

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Solution

The fourth proportional to 203,431.80, 305,147.70 and 98,261.40 is: 147,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,431.80 : 305,147.70 = 98,261.40 : x
  2. Step 2: Convert to fraction form
    203,431.80/305,147.70 = 98,261.40/x
  3. Step 3: Cross multiply
    203,431.80x = 305,147.70 × 98,261.40
  4. Step 4: Simplify right side
    203,431.80x = 29,984,240,208.78
  5. Step 5: Solve for x
    x = 29,984,240,208.78/203,431.80
  6. Step 6: Final answer
    x = 147,392.10

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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.