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Finding the Fourth Proportional to 106,309.80, 159,234.30 and 87,877.80

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Solution

The fourth proportional to 106,309.80, 159,234.30 and 87,877.80 is: 131,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,309.80 : 159,234.30 = 87,877.80 : x
  2. Step 2: Convert to fraction form
    106,309.80/159,234.30 = 87,877.80/x
  3. Step 3: Cross multiply
    106,309.80x = 159,234.30 × 87,877.80
  4. Step 4: Simplify right side
    106,309.80x = 13,993,159,968.54
  5. Step 5: Solve for x
    x = 13,993,159,968.54/106,309.80
  6. Step 6: Final answer
    x = 131,626.25

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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.