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Finding the Fourth Proportional to 201,538.45, 302,297.71 and 75,168.85

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Solution

The fourth proportional to 201,538.45, 302,297.71 and 75,168.85 is: 112,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538.45 : 302,297.71 = 75,168.85 : x
  2. Step 2: Convert to fraction form
    201,538.45/302,297.71 = 75,168.85/x
  3. Step 3: Cross multiply
    201,538.45x = 302,297.71 × 75,168.85
  4. Step 4: Simplify right side
    201,538.45x = 22,723,370,084.72
  5. Step 5: Solve for x
    x = 22,723,370,084.72/201,538.45
  6. Step 6: Final answer
    x = 112,749.55

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1.5x scale

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.