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Finding the Fourth Proportional to 245,256.78, 338,452.63 and 137,824.51

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Solution

The fourth proportional to 245,256.78, 338,452.63 and 137,824.51 is: 190,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,256.78 : 338,452.63 = 137,824.51 : x
  2. Step 2: Convert to fraction form
    245,256.78/338,452.63 = 137,824.51/x
  3. Step 3: Cross multiply
    245,256.78x = 338,452.63 × 137,824.51
  4. Step 4: Simplify right side
    245,256.78x = 46,647,067,887.96
  5. Step 5: Solve for x
    x = 46,647,067,887.96/245,256.78
  6. Step 6: Final answer
    x = 190,196.85

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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.