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Finding the Fourth Proportional to 211,969.78, 318,001.38 and 117,338

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Solution

The fourth proportional to 211,969.78, 318,001.38 and 117,338 is: 176,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,969.78 : 318,001.38 = 117,338 : x
  2. Step 2: Convert to fraction form
    211,969.78/318,001.38 = 117,338/x
  3. Step 3: Cross multiply
    211,969.78x = 318,001.38 × 117,338
  4. Step 4: Simplify right side
    211,969.78x = 37,313,645,926.44
  5. Step 5: Solve for x
    x = 37,313,645,926.44/211,969.78
  6. Step 6: Final answer
    x = 176,032.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.