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Finding the Fourth Proportional to 123,100.34, 169,878.42 and 66,511.70

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Solution

The fourth proportional to 123,100.34, 169,878.42 and 66,511.70 is: 91,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,100.34 : 169,878.42 = 66,511.70 : x
  2. Step 2: Convert to fraction form
    123,100.34/169,878.42 = 66,511.70/x
  3. Step 3: Cross multiply
    123,100.34x = 169,878.42 × 66,511.70
  4. Step 4: Simplify right side
    123,100.34x = 11,298,902,507.51
  5. Step 5: Solve for x
    x = 11,298,902,507.51/123,100.34
  6. Step 6: Final answer
    x = 91,786.12

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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.