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Finding the Fourth Proportional to 123,876.36, 170,855.19 and 85,699.44

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Solution

The fourth proportional to 123,876.36, 170,855.19 and 85,699.44 is: 118,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,876.36 : 170,855.19 = 85,699.44 : x
  2. Step 2: Convert to fraction form
    123,876.36/170,855.19 = 85,699.44/x
  3. Step 3: Cross multiply
    123,876.36x = 170,855.19 × 85,699.44
  4. Step 4: Simplify right side
    123,876.36x = 14,642,194,104.09
  5. Step 5: Solve for x
    x = 14,642,194,104.09/123,876.36
  6. Step 6: Final answer
    x = 118,200.07

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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.