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Finding the Fourth Proportional to 239,664, 330,736.32 and 133,680

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Solution

The fourth proportional to 239,664, 330,736.32 and 133,680 is: 184,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,664 : 330,736.32 = 133,680 : x
  2. Step 2: Convert to fraction form
    239,664/330,736.32 = 133,680/x
  3. Step 3: Cross multiply
    239,664x = 330,736.32 × 133,680
  4. Step 4: Simplify right side
    239,664x = 44,212,831,257.60
  5. Step 5: Solve for x
    x = 44,212,831,257.60/239,664
  6. Step 6: Final answer
    x = 184,478.40

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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.