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Finding the Fourth Proportional to 123,447.60, 170,356.84 and 66,857.84

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Solution

The fourth proportional to 123,447.60, 170,356.84 and 66,857.84 is: 92,263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,447.60 : 170,356.84 = 66,857.84 : x
  2. Step 2: Convert to fraction form
    123,447.60/170,356.84 = 66,857.84/x
  3. Step 3: Cross multiply
    123,447.60x = 170,356.84 × 66,857.84
  4. Step 4: Simplify right side
    123,447.60x = 11,389,690,351.63
  5. Step 5: Solve for x
    x = 11,389,690,351.63/123,447.60
  6. Step 6: Final answer
    x = 92,263.36

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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.