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Finding the Fourth Proportional to 70,289.36, 105,496.40 and 32,869.80

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Solution

The fourth proportional to 70,289.36, 105,496.40 and 32,869.80 is: 49,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,289.36 : 105,496.40 = 32,869.80 : x
  2. Step 2: Convert to fraction form
    70,289.36/105,496.40 = 32,869.80/x
  3. Step 3: Cross multiply
    70,289.36x = 105,496.40 × 32,869.80
  4. Step 4: Simplify right side
    70,289.36x = 3,467,645,568.72
  5. Step 5: Solve for x
    x = 3,467,645,568.72/70,289.36
  6. Step 6: Final answer
    x = 49,333.86

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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.