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Finding the Fourth Proportional to 81,608.16, 122,412.78 and 22,450.08

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Solution

The fourth proportional to 81,608.16, 122,412.78 and 22,450.08 is: 33,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,608.16 : 122,412.78 = 22,450.08 : x
  2. Step 2: Convert to fraction form
    81,608.16/122,412.78 = 22,450.08/x
  3. Step 3: Cross multiply
    81,608.16x = 122,412.78 × 22,450.08
  4. Step 4: Simplify right side
    81,608.16x = 2,748,176,704.02
  5. Step 5: Solve for x
    x = 2,748,176,704.02/81,608.16
  6. Step 6: Final answer
    x = 33,675.27

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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.