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Finding the Fourth Proportional to 55,991.76, 83,988.48 and 13,872

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Solution

The fourth proportional to 55,991.76, 83,988.48 and 13,872 is: 20,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,991.76 : 83,988.48 = 13,872 : x
  2. Step 2: Convert to fraction form
    55,991.76/83,988.48 = 13,872/x
  3. Step 3: Cross multiply
    55,991.76x = 83,988.48 × 13,872
  4. Step 4: Simplify right side
    55,991.76x = 1,165,088,194.56
  5. Step 5: Solve for x
    x = 1,165,088,194.56/55,991.76
  6. Step 6: Final answer
    x = 20,808.21

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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.