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Finding the Fourth Proportional to 106,701.67, 160,376.46 and 71,288.65

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Solution

The fourth proportional to 106,701.67, 160,376.46 and 71,288.65 is: 107,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,701.67 : 160,376.46 = 71,288.65 : x
  2. Step 2: Convert to fraction form
    106,701.67/160,376.46 = 71,288.65/x
  3. Step 3: Cross multiply
    106,701.67x = 160,376.46 × 71,288.65
  4. Step 4: Simplify right side
    106,701.67x = 11,433,021,325.18
  5. Step 5: Solve for x
    x = 11,433,021,325.18/106,701.67
  6. Step 6: Final answer
    x = 107,149.41

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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.