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Finding the Fourth Proportional to 77,268, 106,629.84 and 41,940

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Solution

The fourth proportional to 77,268, 106,629.84 and 41,940 is: 57,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,268 : 106,629.84 = 41,940 : x
  2. Step 2: Convert to fraction form
    77,268/106,629.84 = 41,940/x
  3. Step 3: Cross multiply
    77,268x = 106,629.84 × 41,940
  4. Step 4: Simplify right side
    77,268x = 4,472,055,489.60
  5. Step 5: Solve for x
    x = 4,472,055,489.60/77,268
  6. Step 6: Final answer
    x = 57,877.20

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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.