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Finding the Fourth Proportional to 107,098.56, 160,348.32 and 80,720.64

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Solution

The fourth proportional to 107,098.56, 160,348.32 and 80,720.64 is: 120,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,098.56 : 160,348.32 = 80,720.64 : x
  2. Step 2: Convert to fraction form
    107,098.56/160,348.32 = 80,720.64/x
  3. Step 3: Cross multiply
    107,098.56x = 160,348.32 × 80,720.64
  4. Step 4: Simplify right side
    107,098.56x = 12,943,419,013.32
  5. Step 5: Solve for x
    x = 12,943,419,013.32/107,098.56
  6. Step 6: Final answer
    x = 120,855.21

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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.