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Finding the Fourth Proportional to 121,920.36, 167,876.26 and 106,728

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Solution

The fourth proportional to 121,920.36, 167,876.26 and 106,728 is: 146,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,920.36 : 167,876.26 = 106,728 : x
  2. Step 2: Convert to fraction form
    121,920.36/167,876.26 = 106,728/x
  3. Step 3: Cross multiply
    121,920.36x = 167,876.26 × 106,728
  4. Step 4: Simplify right side
    121,920.36x = 17,917,097,477.28
  5. Step 5: Solve for x
    x = 17,917,097,477.28/121,920.36
  6. Step 6: Final answer
    x = 146,957.39

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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.