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Finding the Fourth Proportional to 70,896.40, 106,338.96 and 30,914.40

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Solution

The fourth proportional to 70,896.40, 106,338.96 and 30,914.40 is: 46,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,896.40 : 106,338.96 = 30,914.40 : x
  2. Step 2: Convert to fraction form
    70,896.40/106,338.96 = 30,914.40/x
  3. Step 3: Cross multiply
    70,896.40x = 106,338.96 × 30,914.40
  4. Step 4: Simplify right side
    70,896.40x = 3,287,405,145.02
  5. Step 5: Solve for x
    x = 3,287,405,145.02/70,896.40
  6. Step 6: Final answer
    x = 46,369.14

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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.