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Finding the Fourth Proportional to 199,512.68, 299,269.36 and 159,784.34

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Solution

The fourth proportional to 199,512.68, 299,269.36 and 159,784.34 is: 239,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,512.68 : 299,269.36 = 159,784.34 : x
  2. Step 2: Convert to fraction form
    199,512.68/299,269.36 = 159,784.34/x
  3. Step 3: Cross multiply
    199,512.68x = 299,269.36 × 159,784.34
  4. Step 4: Simplify right side
    199,512.68x = 47,818,557,169.82
  5. Step 5: Solve for x
    x = 47,818,557,169.82/199,512.68
  6. Step 6: Final answer
    x = 239,676.78

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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.