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Finding the Fourth Proportional to 221,640, 305,864.88 and 121,038

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Solution

The fourth proportional to 221,640, 305,864.88 and 121,038 is: 167,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,640 : 305,864.88 = 121,038 : x
  2. Step 2: Convert to fraction form
    221,640/305,864.88 = 121,038/x
  3. Step 3: Cross multiply
    221,640x = 305,864.88 × 121,038
  4. Step 4: Simplify right side
    221,640x = 37,021,273,345.44
  5. Step 5: Solve for x
    x = 37,021,273,345.44/221,640
  6. Step 6: Final answer
    x = 167,033.36

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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.