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Finding the Fourth Proportional to 123,166.69, 169,969.93 and 66,578.07

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Solution

The fourth proportional to 123,166.69, 169,969.93 and 66,578.07 is: 91,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166.69 : 169,969.93 = 66,578.07 : x
  2. Step 2: Convert to fraction form
    123,166.69/169,969.93 = 66,578.07/x
  3. Step 3: Cross multiply
    123,166.69x = 169,969.93 × 66,578.07
  4. Step 4: Simplify right side
    123,166.69x = 11,316,269,897.44
  5. Step 5: Solve for x
    x = 11,316,269,897.44/123,166.69
  6. Step 6: Final answer
    x = 91,877.68

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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.