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Finding the Fourth Proportional to 205,590.96, 308,383.20 and 65,347.56

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Solution

The fourth proportional to 205,590.96, 308,383.20 and 65,347.56 is: 98,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,590.96 : 308,383.20 = 65,347.56 : x
  2. Step 2: Convert to fraction form
    205,590.96/308,383.20 = 65,347.56/x
  3. Step 3: Cross multiply
    205,590.96x = 308,383.20 × 65,347.56
  4. Step 4: Simplify right side
    205,590.96x = 20,152,089,664.99
  5. Step 5: Solve for x
    x = 20,152,089,664.99/205,590.96
  6. Step 6: Final answer
    x = 98,020.31

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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.