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Finding the Fourth Proportional to 201,719.70, 302,492.06 and 68,564.20

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Solution

The fourth proportional to 201,719.70, 302,492.06 and 68,564.20 is: 102,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,719.70 : 302,492.06 = 68,564.20 : x
  2. Step 2: Convert to fraction form
    201,719.70/302,492.06 = 68,564.20/x
  3. Step 3: Cross multiply
    201,719.70x = 302,492.06 × 68,564.20
  4. Step 4: Simplify right side
    201,719.70x = 20,740,126,100.25
  5. Step 5: Solve for x
    x = 20,740,126,100.25/201,719.70
  6. Step 6: Final answer
    x = 102,816.56

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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.