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Finding the Fourth Proportional to 149,322.50, 206,062.18 and 81,338.68

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Solution

The fourth proportional to 149,322.50, 206,062.18 and 81,338.68 is: 112,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,322.50 : 206,062.18 = 81,338.68 : x
  2. Step 2: Convert to fraction form
    149,322.50/206,062.18 = 81,338.68/x
  3. Step 3: Cross multiply
    149,322.50x = 206,062.18 × 81,338.68
  4. Step 4: Simplify right side
    149,322.50x = 16,760,825,719.12
  5. Step 5: Solve for x
    x = 16,760,825,719.12/149,322.50
  6. Step 6: Final answer
    x = 112,245.82

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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.