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Finding the Fourth Proportional to 201,682.90, 302,524.35 and 154,443.70

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Solution

The fourth proportional to 201,682.90, 302,524.35 and 154,443.70 is: 231,665.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,682.90 : 302,524.35 = 154,443.70 : x
  2. Step 2: Convert to fraction form
    201,682.90/302,524.35 = 154,443.70/x
  3. Step 3: Cross multiply
    201,682.90x = 302,524.35 × 154,443.70
  4. Step 4: Simplify right side
    201,682.90x = 46,722,979,954.10
  5. Step 5: Solve for x
    x = 46,722,979,954.10/201,682.90
  6. Step 6: Final answer
    x = 231,665.55

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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.