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Finding the Fourth Proportional to 201,645.70, 302,468.55 and 83,401.90

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Solution

The fourth proportional to 201,645.70, 302,468.55 and 83,401.90 is: 125,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.70 : 302,468.55 = 83,401.90 : x
  2. Step 2: Convert to fraction form
    201,645.70/302,468.55 = 83,401.90/x
  3. Step 3: Cross multiply
    201,645.70x = 302,468.55 × 83,401.90
  4. Step 4: Simplify right side
    201,645.70x = 25,226,451,760.25
  5. Step 5: Solve for x
    x = 25,226,451,760.25/201,645.70
  6. Step 6: Final answer
    x = 125,102.85

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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.