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Finding the Fourth Proportional to 123,166.42, 169,969.80 and 66,577.75

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Solution

The fourth proportional to 123,166.42, 169,969.80 and 66,577.75 is: 91,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166.42 : 169,969.80 = 66,577.75 : x
  2. Step 2: Convert to fraction form
    123,166.42/169,969.80 = 66,577.75/x
  3. Step 3: Cross multiply
    123,166.42x = 169,969.80 × 66,577.75
  4. Step 4: Simplify right side
    123,166.42x = 11,316,206,851.95
  5. Step 5: Solve for x
    x = 11,316,206,851.95/123,166.42
  6. Step 6: Final answer
    x = 91,877.37

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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.