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Finding the Fourth Proportional to 55,844.37, 83,770.62 and 20,784

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Solution

The fourth proportional to 55,844.37, 83,770.62 and 20,784 is: 31,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,844.37 : 83,770.62 = 20,784 : x
  2. Step 2: Convert to fraction form
    55,844.37/83,770.62 = 20,784/x
  3. Step 3: Cross multiply
    55,844.37x = 83,770.62 × 20,784
  4. Step 4: Simplify right side
    55,844.37x = 1,741,088,566.08
  5. Step 5: Solve for x
    x = 1,741,088,566.08/55,844.37
  6. Step 6: Final answer
    x = 31,177.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.