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Finding the Fourth Proportional to 109,719, 164,471.40 and 53,556.84

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Solution

The fourth proportional to 109,719, 164,471.40 and 53,556.84 is: 80,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,719 : 164,471.40 = 53,556.84 : x
  2. Step 2: Convert to fraction form
    109,719/164,471.40 = 53,556.84/x
  3. Step 3: Cross multiply
    109,719x = 164,471.40 × 53,556.84
  4. Step 4: Simplify right side
    109,719x = 8,808,568,454.38
  5. Step 5: Solve for x
    x = 8,808,568,454.38/109,719
  6. Step 6: Final answer
    x = 80,282.98

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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.