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Finding the Fourth Proportional to 85,668.40, 128,428.68 and 41,234.04

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Solution

The fourth proportional to 85,668.40, 128,428.68 and 41,234.04 is: 61,815.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,668.40 : 128,428.68 = 41,234.04 : x
  2. Step 2: Convert to fraction form
    85,668.40/128,428.68 = 41,234.04/x
  3. Step 3: Cross multiply
    85,668.40x = 128,428.68 × 41,234.04
  4. Step 4: Simplify right side
    85,668.40x = 5,295,633,328.27
  5. Step 5: Solve for x
    x = 5,295,633,328.27/85,668.40
  6. Step 6: Final answer
    x = 61,815.48

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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.