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Finding the Fourth Proportional to 201,645.16, 302,495.42 and 68,489.67

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Solution

The fourth proportional to 201,645.16, 302,495.42 and 68,489.67 is: 102,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,645.16 : 302,495.42 = 68,489.67 : x
  2. Step 2: Convert to fraction form
    201,645.16/302,495.42 = 68,489.67/x
  3. Step 3: Cross multiply
    201,645.16x = 302,495.42 × 68,489.67
  4. Step 4: Simplify right side
    201,645.16x = 20,717,811,492.31
  5. Step 5: Solve for x
    x = 20,717,811,492.31/201,645.16
  6. Step 6: Final answer
    x = 102,743.91

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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.