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Finding the Fourth Proportional to 55,410.84, 83,116.26 and 13,857.84

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Solution

The fourth proportional to 55,410.84, 83,116.26 and 13,857.84 is: 20,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410.84 : 83,116.26 = 13,857.84 : x
  2. Step 2: Convert to fraction form
    55,410.84/83,116.26 = 13,857.84/x
  3. Step 3: Cross multiply
    55,410.84x = 83,116.26 × 13,857.84
  4. Step 4: Simplify right side
    55,410.84x = 1,151,811,832.48
  5. Step 5: Solve for x
    x = 1,151,811,832.48/55,410.84
  6. Step 6: Final answer
    x = 20,786.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.