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Finding the Fourth Proportional to 137,719.81, 206,136.85 and 71,069.16

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Solution

The fourth proportional to 137,719.81, 206,136.85 and 71,069.16 is: 106,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,719.81 : 206,136.85 = 71,069.16 : x
  2. Step 2: Convert to fraction form
    137,719.81/206,136.85 = 71,069.16/x
  3. Step 3: Cross multiply
    137,719.81x = 206,136.85 × 71,069.16
  4. Step 4: Simplify right side
    137,719.81x = 14,649,973,503.14
  5. Step 5: Solve for x
    x = 14,649,973,503.14/137,719.81
  6. Step 6: Final answer
    x = 106,375.21

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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.