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Finding the Fourth Proportional to 201,410.26, 302,140 and 68,328.60

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Solution

The fourth proportional to 201,410.26, 302,140 and 68,328.60 is: 102,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,410.26 : 302,140 = 68,328.60 : x
  2. Step 2: Convert to fraction form
    201,410.26/302,140 = 68,328.60/x
  3. Step 3: Cross multiply
    201,410.26x = 302,140 × 68,328.60
  4. Step 4: Simplify right side
    201,410.26x = 20,644,803,204
  5. Step 5: Solve for x
    x = 20,644,803,204/201,410.26
  6. Step 6: Final answer
    x = 102,501.25

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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.