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Finding the Fourth Proportional to 70,428.86, 105,660.63 and 20,509.44

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Solution

The fourth proportional to 70,428.86, 105,660.63 and 20,509.44 is: 30,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,428.86 : 105,660.63 = 20,509.44 : x
  2. Step 2: Convert to fraction form
    70,428.86/105,660.63 = 20,509.44/x
  3. Step 3: Cross multiply
    70,428.86x = 105,660.63 × 20,509.44
  4. Step 4: Simplify right side
    70,428.86x = 2,167,040,351.35
  5. Step 5: Solve for x
    x = 2,167,040,351.35/70,428.86
  6. Step 6: Final answer
    x = 30,769.21

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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.