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Finding the Fourth Proportional to 70,745.10, 106,106.09 and 20,813.52

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Solution

The fourth proportional to 70,745.10, 106,106.09 and 20,813.52 is: 31,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,745.10 : 106,106.09 = 20,813.52 : x
  2. Step 2: Convert to fraction form
    70,745.10/106,106.09 = 20,813.52/x
  3. Step 3: Cross multiply
    70,745.10x = 106,106.09 × 20,813.52
  4. Step 4: Simplify right side
    70,745.10x = 2,208,441,226.34
  5. Step 5: Solve for x
    x = 2,208,441,226.34/70,745.10
  6. Step 6: Final answer
    x = 31,216.88

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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.