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Finding the Fourth Proportional to 308,221.76, 462,201.36 and 121,102

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Solution

The fourth proportional to 308,221.76, 462,201.36 and 121,102 is: 181,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,221.76 : 462,201.36 = 121,102 : x
  2. Step 2: Convert to fraction form
    308,221.76/462,201.36 = 121,102/x
  3. Step 3: Cross multiply
    308,221.76x = 462,201.36 × 121,102
  4. Step 4: Simplify right side
    308,221.76x = 55,973,509,098.72
  5. Step 5: Solve for x
    x = 55,973,509,098.72/308,221.76
  6. Step 6: Final answer
    x = 181,601.42

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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.