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Finding the Fourth Proportional to 73,187.64, 109,765.26 and 20,583

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Solution

The fourth proportional to 73,187.64, 109,765.26 and 20,583 is: 30,869.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,187.64 : 109,765.26 = 20,583 : x
  2. Step 2: Convert to fraction form
    73,187.64/109,765.26 = 20,583/x
  3. Step 3: Cross multiply
    73,187.64x = 109,765.26 × 20,583
  4. Step 4: Simplify right side
    73,187.64x = 2,259,298,346.58
  5. Step 5: Solve for x
    x = 2,259,298,346.58/73,187.64
  6. Step 6: Final answer
    x = 30,869.94

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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.