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Finding the Fourth Proportional to 85,668.78, 128,429.25 and 41,234.34

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Solution

The fourth proportional to 85,668.78, 128,429.25 and 41,234.34 is: 61,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,668.78 : 128,429.25 = 41,234.34 : x
  2. Step 2: Convert to fraction form
    85,668.78/128,429.25 = 41,234.34/x
  3. Step 3: Cross multiply
    85,668.78x = 128,429.25 × 41,234.34
  4. Step 4: Simplify right side
    85,668.78x = 5,295,695,360.45
  5. Step 5: Solve for x
    x = 5,295,695,360.45/85,668.78
  6. Step 6: Final answer
    x = 61,815.93

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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.