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Finding the Fourth Proportional to 81,861.78, 112,968.13 and 46,051.78

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Solution

The fourth proportional to 81,861.78, 112,968.13 and 46,051.78 is: 63,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.78 : 112,968.13 = 46,051.78 : x
  2. Step 2: Convert to fraction form
    81,861.78/112,968.13 = 46,051.78/x
  3. Step 3: Cross multiply
    81,861.78x = 112,968.13 × 46,051.78
  4. Step 4: Simplify right side
    81,861.78x = 5,202,383,469.77
  5. Step 5: Solve for x
    x = 5,202,383,469.77/81,861.78
  6. Step 6: Final answer
    x = 63,550.82

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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.