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Finding the Fourth Proportional to 210,716.33, 290,784.11 and 115,222.95

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Solution

The fourth proportional to 210,716.33, 290,784.11 and 115,222.95 is: 159,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,716.33 : 290,784.11 = 115,222.95 : x
  2. Step 2: Convert to fraction form
    210,716.33/290,784.11 = 115,222.95/x
  3. Step 3: Cross multiply
    210,716.33x = 290,784.11 × 115,222.95
  4. Step 4: Simplify right side
    210,716.33x = 33,505,002,391.21
  5. Step 5: Solve for x
    x = 33,505,002,391.21/210,716.33
  6. Step 6: Final answer
    x = 159,005.25

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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.