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Finding the Fourth Proportional to 236,210, 325,969.80 and 130,226

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Solution

The fourth proportional to 236,210, 325,969.80 and 130,226 is: 179,711.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,210 : 325,969.80 = 130,226 : x
  2. Step 2: Convert to fraction form
    236,210/325,969.80 = 130,226/x
  3. Step 3: Cross multiply
    236,210x = 325,969.80 × 130,226
  4. Step 4: Simplify right side
    236,210x = 42,449,743,174.80
  5. Step 5: Solve for x
    x = 42,449,743,174.80/236,210
  6. Step 6: Final answer
    x = 179,711.88

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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.