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Finding the Fourth Proportional to 70,295.88, 105,459.42 and 20,378.01

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Solution

The fourth proportional to 70,295.88, 105,459.42 and 20,378.01 is: 30,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,295.88 : 105,459.42 = 20,378.01 : x
  2. Step 2: Convert to fraction form
    70,295.88/105,459.42 = 20,378.01/x
  3. Step 3: Cross multiply
    70,295.88x = 105,459.42 × 20,378.01
  4. Step 4: Simplify right side
    70,295.88x = 2,149,053,115.35
  5. Step 5: Solve for x
    x = 2,149,053,115.35/70,295.88
  6. Step 6: Final answer
    x = 30,571.54

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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.