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Finding the Fourth Proportional to 81,328.40, 122,012.60 and 28,021.20

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Solution

The fourth proportional to 81,328.40, 122,012.60 and 28,021.20 is: 42,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,328.40 : 122,012.60 = 28,021.20 : x
  2. Step 2: Convert to fraction form
    81,328.40/122,012.60 = 28,021.20/x
  3. Step 3: Cross multiply
    81,328.40x = 122,012.60 × 28,021.20
  4. Step 4: Simplify right side
    81,328.40x = 3,418,939,467.12
  5. Step 5: Solve for x
    x = 3,418,939,467.12/81,328.40
  6. Step 6: Final answer
    x = 42,038.69

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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.