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Finding the Fourth Proportional to 81,796, 122,722.80 and 40,272.16

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Solution

The fourth proportional to 81,796, 122,722.80 and 40,272.16 is: 60,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796 : 122,722.80 = 40,272.16 : x
  2. Step 2: Convert to fraction form
    81,796/122,722.80 = 40,272.16/x
  3. Step 3: Cross multiply
    81,796x = 122,722.80 × 40,272.16
  4. Step 4: Simplify right side
    81,796x = 4,942,312,237.25
  5. Step 5: Solve for x
    x = 4,942,312,237.25/81,796
  6. Step 6: Final answer
    x = 60,422.42

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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.