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Finding the Fourth Proportional to 243,664, 336,256.32 and 137,680

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Solution

The fourth proportional to 243,664, 336,256.32 and 137,680 is: 189,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,664 : 336,256.32 = 137,680 : x
  2. Step 2: Convert to fraction form
    243,664/336,256.32 = 137,680/x
  3. Step 3: Cross multiply
    243,664x = 336,256.32 × 137,680
  4. Step 4: Simplify right side
    243,664x = 46,295,770,137.60
  5. Step 5: Solve for x
    x = 46,295,770,137.60/243,664
  6. Step 6: Final answer
    x = 189,998.40

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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.