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Finding the Fourth Proportional to 203,442.30, 305,163.45 and 98,271.90

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Solution

The fourth proportional to 203,442.30, 305,163.45 and 98,271.90 is: 147,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,442.30 : 305,163.45 = 98,271.90 : x
  2. Step 2: Convert to fraction form
    203,442.30/305,163.45 = 98,271.90/x
  3. Step 3: Cross multiply
    203,442.30x = 305,163.45 × 98,271.90
  4. Step 4: Simplify right side
    203,442.30x = 29,988,992,042.06
  5. Step 5: Solve for x
    x = 29,988,992,042.06/203,442.30
  6. Step 6: Final answer
    x = 147,407.85

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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.