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Finding the Fourth Proportional to 102,687.84, 154,080.72 and 55,939.68

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Solution

The fourth proportional to 102,687.84, 154,080.72 and 55,939.68 is: 83,936.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,687.84 : 154,080.72 = 55,939.68 : x
  2. Step 2: Convert to fraction form
    102,687.84/154,080.72 = 55,939.68/x
  3. Step 3: Cross multiply
    102,687.84x = 154,080.72 × 55,939.68
  4. Step 4: Simplify right side
    102,687.84x = 8,619,226,170.97
  5. Step 5: Solve for x
    x = 8,619,226,170.97/102,687.84
  6. Step 6: Final answer
    x = 83,936.19

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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.