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Finding the Fourth Proportional to 123,842.60, 170,893.32 and 72,857.36

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Solution

The fourth proportional to 123,842.60, 170,893.32 and 72,857.36 is: 100,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,842.60 : 170,893.32 = 72,857.36 : x
  2. Step 2: Convert to fraction form
    123,842.60/170,893.32 = 72,857.36/x
  3. Step 3: Cross multiply
    123,842.60x = 170,893.32 × 72,857.36
  4. Step 4: Simplify right side
    123,842.60x = 12,450,836,136.84
  5. Step 5: Solve for x
    x = 12,450,836,136.84/123,842.60
  6. Step 6: Final answer
    x = 100,537.59

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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.