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Finding the Fourth Proportional to 210,858.86, 290,992.49 and 115,365.54

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Solution

The fourth proportional to 210,858.86, 290,992.49 and 115,365.54 is: 159,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,858.86 : 290,992.49 = 115,365.54 : x
  2. Step 2: Convert to fraction form
    210,858.86/290,992.49 = 115,365.54/x
  3. Step 3: Cross multiply
    210,858.86x = 290,992.49 × 115,365.54
  4. Step 4: Simplify right side
    210,858.86x = 33,570,505,167.97
  5. Step 5: Solve for x
    x = 33,570,505,167.97/210,858.86
  6. Step 6: Final answer
    x = 159,208.42

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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.