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Finding the Fourth Proportional to 53,251.52, 79,877.52 and 13,805.84

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Solution

The fourth proportional to 53,251.52, 79,877.52 and 13,805.84 is: 20,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,251.52 : 79,877.52 = 13,805.84 : x
  2. Step 2: Convert to fraction form
    53,251.52/79,877.52 = 13,805.84/x
  3. Step 3: Cross multiply
    53,251.52x = 79,877.52 × 13,805.84
  4. Step 4: Simplify right side
    53,251.52x = 1,102,776,260.72
  5. Step 5: Solve for x
    x = 1,102,776,260.72/53,251.52
  6. Step 6: Final answer
    x = 20,708.82

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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.