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Finding the Fourth Proportional to 210,661.44, 290,713.82 and 115,168.14

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Solution

The fourth proportional to 210,661.44, 290,713.82 and 115,168.14 is: 158,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,661.44 : 290,713.82 = 115,168.14 : x
  2. Step 2: Convert to fraction form
    210,661.44/290,713.82 = 115,168.14/x
  3. Step 3: Cross multiply
    210,661.44x = 290,713.82 × 115,168.14
  4. Step 4: Simplify right side
    210,661.44x = 33,480,968,255.68
  5. Step 5: Solve for x
    x = 33,480,968,255.68/210,661.44
  6. Step 6: Final answer
    x = 158,932.59

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1.5x scale

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.