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Finding the Fourth Proportional to 70,154.56, 105,228.96 and 38,969.92

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Solution

The fourth proportional to 70,154.56, 105,228.96 and 38,969.92 is: 58,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154.56 : 105,228.96 = 38,969.92 : x
  2. Step 2: Convert to fraction form
    70,154.56/105,228.96 = 38,969.92/x
  3. Step 3: Cross multiply
    70,154.56x = 105,228.96 × 38,969.92
  4. Step 4: Simplify right side
    70,154.56x = 4,100,764,152.88
  5. Step 5: Solve for x
    x = 4,100,764,152.88/70,154.56
  6. Step 6: Final answer
    x = 58,453.28

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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.