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Finding the Fourth Proportional to 70,709.81, 106,039.19 and 20,776.55

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Solution

The fourth proportional to 70,709.81, 106,039.19 and 20,776.55 is: 31,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,709.81 : 106,039.19 = 20,776.55 : x
  2. Step 2: Convert to fraction form
    70,709.81/106,039.19 = 20,776.55/x
  3. Step 3: Cross multiply
    70,709.81x = 106,039.19 × 20,776.55
  4. Step 4: Simplify right side
    70,709.81x = 2,203,128,054.74
  5. Step 5: Solve for x
    x = 2,203,128,054.74/70,709.81
  6. Step 6: Final answer
    x = 31,157.32

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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.