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Finding the Fourth Proportional to 48,709.40, 73,071.40 and 20,629.40

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Solution

The fourth proportional to 48,709.40, 73,071.40 and 20,629.40 is: 30,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,709.40 : 73,071.40 = 20,629.40 : x
  2. Step 2: Convert to fraction form
    48,709.40/73,071.40 = 20,629.40/x
  3. Step 3: Cross multiply
    48,709.40x = 73,071.40 × 20,629.40
  4. Step 4: Simplify right side
    48,709.40x = 1,507,419,139.16
  5. Step 5: Solve for x
    x = 1,507,419,139.16/48,709.40
  6. Step 6: Final answer
    x = 30,947.19

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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.