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Finding the Fourth Proportional to 275,168.14, 412,707.96 and 75,442.19

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Solution

The fourth proportional to 275,168.14, 412,707.96 and 75,442.19 is: 113,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,168.14 : 412,707.96 = 75,442.19 : x
  2. Step 2: Convert to fraction form
    275,168.14/412,707.96 = 75,442.19/x
  3. Step 3: Cross multiply
    275,168.14x = 412,707.96 × 75,442.19
  4. Step 4: Simplify right side
    275,168.14x = 31,135,590,269.29
  5. Step 5: Solve for x
    x = 31,135,590,269.29/275,168.14
  6. Step 6: Final answer
    x = 113,151.15

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1.5x scale

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.