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Finding the Fourth Proportional to 106,739.35, 160,108.81 and 100,243.96

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Solution

The fourth proportional to 106,739.35, 160,108.81 and 100,243.96 is: 150,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,739.35 : 160,108.81 = 100,243.96 : x
  2. Step 2: Convert to fraction form
    106,739.35/160,108.81 = 100,243.96/x
  3. Step 3: Cross multiply
    106,739.35x = 160,108.81 × 100,243.96
  4. Step 4: Simplify right side
    106,739.35x = 16,049,941,145.29
  5. Step 5: Solve for x
    x = 16,049,941,145.29/106,739.35
  6. Step 6: Final answer
    x = 150,365.74

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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.