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Finding the Fourth Proportional to 120,683.98, 166,576.17 and 75,334.65

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Solution

The fourth proportional to 120,683.98, 166,576.17 and 75,334.65 is: 103,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,683.98 : 166,576.17 = 75,334.65 : x
  2. Step 2: Convert to fraction form
    120,683.98/166,576.17 = 75,334.65/x
  3. Step 3: Cross multiply
    120,683.98x = 166,576.17 × 75,334.65
  4. Step 4: Simplify right side
    120,683.98x = 12,548,957,465.29
  5. Step 5: Solve for x
    x = 12,548,957,465.29/120,683.98
  6. Step 6: Final answer
    x = 103,981.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.