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Finding the Fourth Proportional to 275,128.86, 412,752.70 and 85,585.62

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Solution

The fourth proportional to 275,128.86, 412,752.70 and 85,585.62 is: 128,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,128.86 : 412,752.70 = 85,585.62 : x
  2. Step 2: Convert to fraction form
    275,128.86/412,752.70 = 85,585.62/x
  3. Step 3: Cross multiply
    275,128.86x = 412,752.70 × 85,585.62
  4. Step 4: Simplify right side
    275,128.86x = 35,325,695,736.17
  5. Step 5: Solve for x
    x = 35,325,695,736.17/275,128.86
  6. Step 6: Final answer
    x = 128,396.91

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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.