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Finding the Fourth Proportional to 245,452, 338,725.76 and 138,021.08

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Solution

The fourth proportional to 245,452, 338,725.76 and 138,021.08 is: 190,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,452 : 338,725.76 = 138,021.08 : x
  2. Step 2: Convert to fraction form
    245,452/338,725.76 = 138,021.08/x
  3. Step 3: Cross multiply
    245,452x = 338,725.76 × 138,021.08
  4. Step 4: Simplify right side
    245,452x = 46,751,295,219.02
  5. Step 5: Solve for x
    x = 46,751,295,219.02/245,452
  6. Step 6: Final answer
    x = 190,470.22

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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.