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Finding the Fourth Proportional to 55,640.84, 83,461.32 and 14,087.84

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Solution

The fourth proportional to 55,640.84, 83,461.32 and 14,087.84 is: 21,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,640.84 : 83,461.32 = 14,087.84 : x
  2. Step 2: Convert to fraction form
    55,640.84/83,461.32 = 14,087.84/x
  3. Step 3: Cross multiply
    55,640.84x = 83,461.32 × 14,087.84
  4. Step 4: Simplify right side
    55,640.84x = 1,175,789,722.35
  5. Step 5: Solve for x
    x = 1,175,789,722.35/55,640.84
  6. Step 6: Final answer
    x = 21,131.78

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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.