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Finding the Fourth Proportional to 81,817.76, 112,922.36 and 47,357.49

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Solution

The fourth proportional to 81,817.76, 112,922.36 and 47,357.49 is: 65,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,817.76 : 112,922.36 = 47,357.49 : x
  2. Step 2: Convert to fraction form
    81,817.76/112,922.36 = 47,357.49/x
  3. Step 3: Cross multiply
    81,817.76x = 112,922.36 × 47,357.49
  4. Step 4: Simplify right side
    81,817.76x = 5,347,720,165.12
  5. Step 5: Solve for x
    x = 5,347,720,165.12/81,817.76
  6. Step 6: Final answer
    x = 65,361.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.