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Finding the Fourth Proportional to 205,849.40, 308,774.10 and 65,622.20

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Solution

The fourth proportional to 205,849.40, 308,774.10 and 65,622.20 is: 98,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,849.40 : 308,774.10 = 65,622.20 : x
  2. Step 2: Convert to fraction form
    205,849.40/308,774.10 = 65,622.20/x
  3. Step 3: Cross multiply
    205,849.40x = 308,774.10 × 65,622.20
  4. Step 4: Simplify right side
    205,849.40x = 20,262,435,745.02
  5. Step 5: Solve for x
    x = 20,262,435,745.02/205,849.40
  6. Step 6: Final answer
    x = 98,433.30

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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.