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Finding the Fourth Proportional to 55,190.70, 82,786.05 and 39,638.70

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Solution

The fourth proportional to 55,190.70, 82,786.05 and 39,638.70 is: 59,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,190.70 : 82,786.05 = 39,638.70 : x
  2. Step 2: Convert to fraction form
    55,190.70/82,786.05 = 39,638.70/x
  3. Step 3: Cross multiply
    55,190.70x = 82,786.05 × 39,638.70
  4. Step 4: Simplify right side
    55,190.70x = 3,281,531,400.14
  5. Step 5: Solve for x
    x = 3,281,531,400.14/55,190.70
  6. Step 6: Final answer
    x = 59,458.05

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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.