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Finding the Fourth Proportional to 221,611.54, 305,823.45 and 121,009.54

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Solution

The fourth proportional to 221,611.54, 305,823.45 and 121,009.54 is: 166,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,611.54 : 305,823.45 = 121,009.54 : x
  2. Step 2: Convert to fraction form
    221,611.54/305,823.45 = 121,009.54/x
  3. Step 3: Cross multiply
    221,611.54x = 305,823.45 × 121,009.54
  4. Step 4: Simplify right side
    221,611.54x = 37,007,555,005.71
  5. Step 5: Solve for x
    x = 37,007,555,005.71/221,611.54
  6. Step 6: Final answer
    x = 166,992.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.