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Finding the Fourth Proportional to 221,678, 305,915.64 and 121,076.24

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Solution

The fourth proportional to 221,678, 305,915.64 and 121,076.24 is: 167,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,678 : 305,915.64 = 121,076.24 : x
  2. Step 2: Convert to fraction form
    221,678/305,915.64 = 121,076.24/x
  3. Step 3: Cross multiply
    221,678x = 305,915.64 × 121,076.24
  4. Step 4: Simplify right side
    221,678x = 37,039,115,448.39
  5. Step 5: Solve for x
    x = 37,039,115,448.39/221,678
  6. Step 6: Final answer
    x = 167,085.21

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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.