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Finding the Fourth Proportional to 199,537.77, 275,463.71 and 154,113.78

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Solution

The fourth proportional to 199,537.77, 275,463.71 and 154,113.78 is: 212,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,537.77 : 275,463.71 = 154,113.78 : x
  2. Step 2: Convert to fraction form
    199,537.77/275,463.71 = 154,113.78/x
  3. Step 3: Cross multiply
    199,537.77x = 275,463.71 × 154,113.78
  4. Step 4: Simplify right side
    199,537.77x = 42,452,753,986.21
  5. Step 5: Solve for x
    x = 42,452,753,986.21/199,537.77
  6. Step 6: Final answer
    x = 212,755.48

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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.