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Finding the Fourth Proportional to 201,408.20, 302,102.70 and 68,275.40

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Solution

The fourth proportional to 201,408.20, 302,102.70 and 68,275.40 is: 102,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.20 : 302,102.70 = 68,275.40 : x
  2. Step 2: Convert to fraction form
    201,408.20/302,102.70 = 68,275.40/x
  3. Step 3: Cross multiply
    201,408.20x = 302,102.70 × 68,275.40
  4. Step 4: Simplify right side
    201,408.20x = 20,626,182,683.58
  5. Step 5: Solve for x
    x = 20,626,182,683.58/201,408.20
  6. Step 6: Final answer
    x = 102,409.85

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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.