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Finding the Fourth Proportional to 53,243.49, 79,865.16 and 13,800.64

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Solution

The fourth proportional to 53,243.49, 79,865.16 and 13,800.64 is: 20,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,243.49 : 79,865.16 = 13,800.64 : x
  2. Step 2: Convert to fraction form
    53,243.49/79,865.16 = 13,800.64/x
  3. Step 3: Cross multiply
    53,243.49x = 79,865.16 × 13,800.64
  4. Step 4: Simplify right side
    53,243.49x = 1,102,190,321.70
  5. Step 5: Solve for x
    x = 1,102,190,321.70/53,243.49
  6. Step 6: Final answer
    x = 20,700.94

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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.