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Finding the Fourth Proportional to 81,577.69, 122,361.58 and 48,508.19

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Solution

The fourth proportional to 81,577.69, 122,361.58 and 48,508.19 is: 72,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,577.69 : 122,361.58 = 48,508.19 : x
  2. Step 2: Convert to fraction form
    81,577.69/122,361.58 = 48,508.19/x
  3. Step 3: Cross multiply
    81,577.69x = 122,361.58 × 48,508.19
  4. Step 4: Simplify right side
    81,577.69x = 5,935,538,771.34
  5. Step 5: Solve for x
    x = 5,935,538,771.34/81,577.69
  6. Step 6: Final answer
    x = 72,759.34

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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.