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Finding the Fourth Proportional to 107,156.85, 160,472.80 and 75,489.09

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Solution

The fourth proportional to 107,156.85, 160,472.80 and 75,489.09 is: 113,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,156.85 : 160,472.80 = 75,489.09 : x
  2. Step 2: Convert to fraction form
    107,156.85/160,472.80 = 75,489.09/x
  3. Step 3: Cross multiply
    107,156.85x = 160,472.80 × 75,489.09
  4. Step 4: Simplify right side
    107,156.85x = 12,113,945,641.75
  5. Step 5: Solve for x
    x = 12,113,945,641.75/107,156.85
  6. Step 6: Final answer
    x = 113,048.73

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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.