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Finding the Fourth Proportional to 205,512.80, 308,301.60 and 65,285.60

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Solution

The fourth proportional to 205,512.80, 308,301.60 and 65,285.60 is: 97,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,512.80 : 308,301.60 = 65,285.60 : x
  2. Step 2: Convert to fraction form
    205,512.80/308,301.60 = 65,285.60/x
  3. Step 3: Cross multiply
    205,512.80x = 308,301.60 × 65,285.60
  4. Step 4: Simplify right side
    205,512.80x = 20,127,654,936.96
  5. Step 5: Solve for x
    x = 20,127,654,936.96/205,512.80
  6. Step 6: Final answer
    x = 97,938.69

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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.