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Finding the Fourth Proportional to 107,660, 161,522.88 and 55,106.72

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Solution

The fourth proportional to 107,660, 161,522.88 and 55,106.72 is: 82,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,660 : 161,522.88 = 55,106.72 : x
  2. Step 2: Convert to fraction form
    107,660/161,522.88 = 55,106.72/x
  3. Step 3: Cross multiply
    107,660x = 161,522.88 × 55,106.72
  4. Step 4: Simplify right side
    107,660x = 8,900,996,121.75
  5. Step 5: Solve for x
    x = 8,900,996,121.75/107,660
  6. Step 6: Final answer
    x = 82,676.91

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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.