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Finding the Fourth Proportional to 70,698.88, 106,048.34 and 20,778.98

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Solution

The fourth proportional to 70,698.88, 106,048.34 and 20,778.98 is: 31,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,698.88 : 106,048.34 = 20,778.98 : x
  2. Step 2: Convert to fraction form
    70,698.88/106,048.34 = 20,778.98/x
  3. Step 3: Cross multiply
    70,698.88x = 106,048.34 × 20,778.98
  4. Step 4: Simplify right side
    70,698.88x = 2,203,576,232.00
  5. Step 5: Solve for x
    x = 2,203,576,232.00/70,698.88
  6. Step 6: Final answer
    x = 31,168.48

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1.5x scale

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.