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Finding the Fourth Proportional to 210,717, 290,789.46 and 121,293

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Solution

The fourth proportional to 210,717, 290,789.46 and 121,293 is: 167,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,717 : 290,789.46 = 121,293 : x
  2. Step 2: Convert to fraction form
    210,717/290,789.46 = 121,293/x
  3. Step 3: Cross multiply
    210,717x = 290,789.46 × 121,293
  4. Step 4: Simplify right side
    210,717x = 35,270,725,971.78
  5. Step 5: Solve for x
    x = 35,270,725,971.78/210,717
  6. Step 6: Final answer
    x = 167,384.34

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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.