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Finding the Fourth Proportional to 199,648.36, 299,533.92 and 119,775

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Solution

The fourth proportional to 199,648.36, 299,533.92 and 119,775 is: 179,699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,648.36 : 299,533.92 = 119,775 : x
  2. Step 2: Convert to fraction form
    199,648.36/299,533.92 = 119,775/x
  3. Step 3: Cross multiply
    199,648.36x = 299,533.92 × 119,775
  4. Step 4: Simplify right side
    199,648.36x = 35,876,675,268
  5. Step 5: Solve for x
    x = 35,876,675,268/199,648.36
  6. Step 6: Final answer
    x = 179,699.32

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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.