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Finding the Fourth Proportional to 205,664.88, 308,477.88 and 65,398.80

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Solution

The fourth proportional to 205,664.88, 308,477.88 and 65,398.80 is: 98,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,664.88 : 308,477.88 = 65,398.80 : x
  2. Step 2: Convert to fraction form
    205,664.88/308,477.88 = 65,398.80/x
  3. Step 3: Cross multiply
    205,664.88x = 308,477.88 × 65,398.80
  4. Step 4: Simplify right side
    205,664.88x = 20,174,083,178.54
  5. Step 5: Solve for x
    x = 20,174,083,178.54/205,664.88
  6. Step 6: Final answer
    x = 98,092.02

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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.