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Finding the Fourth Proportional to 123,166.36, 169,969.80 and 66,577.78

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Solution

The fourth proportional to 123,166.36, 169,969.80 and 66,577.78 is: 91,877.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166.36 : 169,969.80 = 66,577.78 : x
  2. Step 2: Convert to fraction form
    123,166.36/169,969.80 = 66,577.78/x
  3. Step 3: Cross multiply
    123,166.36x = 169,969.80 × 66,577.78
  4. Step 4: Simplify right side
    123,166.36x = 11,316,211,951.04
  5. Step 5: Solve for x
    x = 11,316,211,951.04/123,166.36
  6. Step 6: Final answer
    x = 91,877.46

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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.