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Finding the Fourth Proportional to 137,683.92, 206,585.05 and 74,549.15

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Solution

The fourth proportional to 137,683.92, 206,585.05 and 74,549.15 is: 111,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,683.92 : 206,585.05 = 74,549.15 : x
  2. Step 2: Convert to fraction form
    137,683.92/206,585.05 = 74,549.15/x
  3. Step 3: Cross multiply
    137,683.92x = 206,585.05 × 74,549.15
  4. Step 4: Simplify right side
    137,683.92x = 15,400,739,880.21
  5. Step 5: Solve for x
    x = 15,400,739,880.21/137,683.92
  6. Step 6: Final answer
    x = 111,855.76

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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.