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Finding the Fourth Proportional to 199,284.96, 275,004.72 and 108,638.76

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Solution

The fourth proportional to 199,284.96, 275,004.72 and 108,638.76 is: 149,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,284.96 : 275,004.72 = 108,638.76 : x
  2. Step 2: Convert to fraction form
    199,284.96/275,004.72 = 108,638.76/x
  3. Step 3: Cross multiply
    199,284.96x = 275,004.72 × 108,638.76
  4. Step 4: Simplify right side
    199,284.96x = 29,876,171,774.95
  5. Step 5: Solve for x
    x = 29,876,171,774.95/199,284.96
  6. Step 6: Final answer
    x = 149,916.84

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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.