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Finding the Fourth Proportional to 73,189.82, 109,719.12 and 26,431.76

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Solution

The fourth proportional to 73,189.82, 109,719.12 and 26,431.76 is: 39,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,189.82 : 109,719.12 = 26,431.76 : x
  2. Step 2: Convert to fraction form
    73,189.82/109,719.12 = 26,431.76/x
  3. Step 3: Cross multiply
    73,189.82x = 109,719.12 × 26,431.76
  4. Step 4: Simplify right side
    73,189.82x = 2,900,069,447.25
  5. Step 5: Solve for x
    x = 2,900,069,447.25/73,189.82
  6. Step 6: Final answer
    x = 39,623.95

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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.