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Finding the Fourth Proportional to 205,376.80, 308,097.60 and 65,149.60

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Solution

The fourth proportional to 205,376.80, 308,097.60 and 65,149.60 is: 97,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376.80 : 308,097.60 = 65,149.60 : x
  2. Step 2: Convert to fraction form
    205,376.80/308,097.60 = 65,149.60/x
  3. Step 3: Cross multiply
    205,376.80x = 308,097.60 × 65,149.60
  4. Step 4: Simplify right side
    205,376.80x = 20,072,435,400.96
  5. Step 5: Solve for x
    x = 20,072,435,400.96/205,376.80
  6. Step 6: Final answer
    x = 97,734.68

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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.