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Finding the Fourth Proportional to 53,286.61, 79,928.02 and 13,305.82

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Solution

The fourth proportional to 53,286.61, 79,928.02 and 13,305.82 is: 19,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,286.61 : 79,928.02 = 13,305.82 : x
  2. Step 2: Convert to fraction form
    53,286.61/79,928.02 = 13,305.82/x
  3. Step 3: Cross multiply
    53,286.61x = 79,928.02 × 13,305.82
  4. Step 4: Simplify right side
    53,286.61x = 1,063,507,847.08
  5. Step 5: Solve for x
    x = 1,063,507,847.08/53,286.61
  6. Step 6: Final answer
    x = 19,958.26

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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.