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Finding the Fourth Proportional to 203,433.90, 305,199.45 and 98,166.30

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Solution

The fourth proportional to 203,433.90, 305,199.45 and 98,166.30 is: 147,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,433.90 : 305,199.45 = 98,166.30 : x
  2. Step 2: Convert to fraction form
    203,433.90/305,199.45 = 98,166.30/x
  3. Step 3: Cross multiply
    203,433.90x = 305,199.45 × 98,166.30
  4. Step 4: Simplify right side
    203,433.90x = 29,960,300,768.54
  5. Step 5: Solve for x
    x = 29,960,300,768.54/203,433.90
  6. Step 6: Final answer
    x = 147,272.90

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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.