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Finding the Fourth Proportional to 53,309.84, 79,967.64 and 13,867.04

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Solution

The fourth proportional to 53,309.84, 79,967.64 and 13,867.04 is: 20,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,309.84 : 79,967.64 = 13,867.04 : x
  2. Step 2: Convert to fraction form
    53,309.84/79,967.64 = 13,867.04/x
  3. Step 3: Cross multiply
    53,309.84x = 79,967.64 × 13,867.04
  4. Step 4: Simplify right side
    53,309.84x = 1,108,914,462.59
  5. Step 5: Solve for x
    x = 1,108,914,462.59/53,309.84
  6. Step 6: Final answer
    x = 20,801.31

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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.