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Finding the Fourth Proportional to 70,949.16, 106,396.02 and 30,980.34

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Solution

The fourth proportional to 70,949.16, 106,396.02 and 30,980.34 is: 46,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,949.16 : 106,396.02 = 30,980.34 : x
  2. Step 2: Convert to fraction form
    70,949.16/106,396.02 = 30,980.34/x
  3. Step 3: Cross multiply
    70,949.16x = 106,396.02 × 30,980.34
  4. Step 4: Simplify right side
    70,949.16x = 3,296,184,874.25
  5. Step 5: Solve for x
    x = 3,296,184,874.25/70,949.16
  6. Step 6: Final answer
    x = 46,458.41

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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.