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Finding the Fourth Proportional to 211,140.60, 291,375 and 115,647

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Solution

The fourth proportional to 211,140.60, 291,375 and 115,647 is: 159,593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,140.60 : 291,375 = 115,647 : x
  2. Step 2: Convert to fraction form
    211,140.60/291,375 = 115,647/x
  3. Step 3: Cross multiply
    211,140.60x = 291,375 × 115,647
  4. Step 4: Simplify right side
    211,140.60x = 33,696,644,625
  5. Step 5: Solve for x
    x = 33,696,644,625/211,140.60
  6. Step 6: Final answer
    x = 159,593.39

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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.