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Finding the Fourth Proportional to 55,137.84, 82,734.08 and 21,857.16

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Solution

The fourth proportional to 55,137.84, 82,734.08 and 21,857.16 is: 32,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,137.84 : 82,734.08 = 21,857.16 : x
  2. Step 2: Convert to fraction form
    55,137.84/82,734.08 = 21,857.16/x
  3. Step 3: Cross multiply
    55,137.84x = 82,734.08 × 21,857.16
  4. Step 4: Simplify right side
    55,137.84x = 1,808,332,024.01
  5. Step 5: Solve for x
    x = 1,808,332,024.01/55,137.84
  6. Step 6: Final answer
    x = 32,796.57

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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.