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Finding the Fourth Proportional to 205,321.62, 307,993.47 and 65,091.18

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Solution

The fourth proportional to 205,321.62, 307,993.47 and 65,091.18 is: 97,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,321.62 : 307,993.47 = 65,091.18 : x
  2. Step 2: Convert to fraction form
    205,321.62/307,993.47 = 65,091.18/x
  3. Step 3: Cross multiply
    205,321.62x = 307,993.47 × 65,091.18
  4. Step 4: Simplify right side
    205,321.62x = 20,047,658,394.59
  5. Step 5: Solve for x
    x = 20,047,658,394.59/205,321.62
  6. Step 6: Final answer
    x = 97,640.27

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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.