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Finding the Fourth Proportional to 205,664.57, 308,477.42 and 65,398.49

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Solution

The fourth proportional to 205,664.57, 308,477.42 and 65,398.49 is: 98,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,664.57 : 308,477.42 = 65,398.49 : x
  2. Step 2: Convert to fraction form
    205,664.57/308,477.42 = 65,398.49/x
  3. Step 3: Cross multiply
    205,664.57x = 308,477.42 × 65,398.49
  4. Step 4: Simplify right side
    205,664.57x = 20,173,957,140.10
  5. Step 5: Solve for x
    x = 20,173,957,140.10/205,664.57
  6. Step 6: Final answer
    x = 98,091.55

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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.