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Finding the Fourth Proportional to 205,905.92, 308,921.60 and 100,709.60

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Solution

The fourth proportional to 205,905.92, 308,921.60 and 100,709.60 is: 151,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,905.92 : 308,921.60 = 100,709.60 : x
  2. Step 2: Convert to fraction form
    205,905.92/308,921.60 = 100,709.60/x
  3. Step 3: Cross multiply
    205,905.92x = 308,921.60 × 100,709.60
  4. Step 4: Simplify right side
    205,905.92x = 31,111,370,767.36
  5. Step 5: Solve for x
    x = 31,111,370,767.36/205,905.92
  6. Step 6: Final answer
    x = 151,095.08

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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.