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Finding the Fourth Proportional to 210,679.56, 290,765.16 and 120,067.92

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Solution

The fourth proportional to 210,679.56, 290,765.16 and 120,067.92 is: 165,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,679.56 : 290,765.16 = 120,067.92 : x
  2. Step 2: Convert to fraction form
    210,679.56/290,765.16 = 120,067.92/x
  3. Step 3: Cross multiply
    210,679.56x = 290,765.16 × 120,067.92
  4. Step 4: Simplify right side
    210,679.56x = 34,911,567,969.67
  5. Step 5: Solve for x
    x = 34,911,567,969.67/210,679.56
  6. Step 6: Final answer
    x = 165,709.33

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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.