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Finding the Fourth Proportional to 210,617.62, 290,651.25 and 115,129.78

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Solution

The fourth proportional to 210,617.62, 290,651.25 and 115,129.78 is: 158,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,617.62 : 290,651.25 = 115,129.78 : x
  2. Step 2: Convert to fraction form
    210,617.62/290,651.25 = 115,129.78/x
  3. Step 3: Cross multiply
    210,617.62x = 290,651.25 × 115,129.78
  4. Step 4: Simplify right side
    210,617.62x = 33,462,614,469.23
  5. Step 5: Solve for x
    x = 33,462,614,469.23/210,617.62
  6. Step 6: Final answer
    x = 158,878.51

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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.