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Finding the Fourth Proportional to 70,419.60, 105,629.40 and 28,896.40

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Solution

The fourth proportional to 70,419.60, 105,629.40 and 28,896.40 is: 43,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,419.60 : 105,629.40 = 28,896.40 : x
  2. Step 2: Convert to fraction form
    70,419.60/105,629.40 = 28,896.40/x
  3. Step 3: Cross multiply
    70,419.60x = 105,629.40 × 28,896.40
  4. Step 4: Simplify right side
    70,419.60x = 3,052,309,394.16
  5. Step 5: Solve for x
    x = 3,052,309,394.16/70,419.60
  6. Step 6: Final answer
    x = 43,344.60

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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.