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Finding the Fourth Proportional to 53,082.54, 79,623.81 and 13,639.65

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Solution

The fourth proportional to 53,082.54, 79,623.81 and 13,639.65 is: 20,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082.54 : 79,623.81 = 13,639.65 : x
  2. Step 2: Convert to fraction form
    53,082.54/79,623.81 = 13,639.65/x
  3. Step 3: Cross multiply
    53,082.54x = 79,623.81 × 13,639.65
  4. Step 4: Simplify right side
    53,082.54x = 1,086,040,900.07
  5. Step 5: Solve for x
    x = 1,086,040,900.07/53,082.54
  6. Step 6: Final answer
    x = 20,459.48

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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.