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Finding the Fourth Proportional to 199,414.62, 275,293.76 and 153,990.63

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Solution

The fourth proportional to 199,414.62, 275,293.76 and 153,990.63 is: 212,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,414.62 : 275,293.76 = 153,990.63 : x
  2. Step 2: Convert to fraction form
    199,414.62/275,293.76 = 153,990.63/x
  3. Step 3: Cross multiply
    199,414.62x = 275,293.76 × 153,990.63
  4. Step 4: Simplify right side
    199,414.62x = 42,392,659,537.47
  5. Step 5: Solve for x
    x = 42,392,659,537.47/199,414.62
  6. Step 6: Final answer
    x = 212,585.51

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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.