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Finding the Fourth Proportional to 210,714, 290,785.32 and 121,290

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Solution

The fourth proportional to 210,714, 290,785.32 and 121,290 is: 167,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,714 : 290,785.32 = 121,290 : x
  2. Step 2: Convert to fraction form
    210,714/290,785.32 = 121,290/x
  3. Step 3: Cross multiply
    210,714x = 290,785.32 × 121,290
  4. Step 4: Simplify right side
    210,714x = 35,269,351,462.80
  5. Step 5: Solve for x
    x = 35,269,351,462.80/210,714
  6. Step 6: Final answer
    x = 167,380.20

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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.