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Finding the Fourth Proportional to 137,612, 206,452.68 and 39,116

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Solution

The fourth proportional to 137,612, 206,452.68 and 39,116 is: 58,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,612 : 206,452.68 = 39,116 : x
  2. Step 2: Convert to fraction form
    137,612/206,452.68 = 39,116/x
  3. Step 3: Cross multiply
    137,612x = 206,452.68 × 39,116
  4. Step 4: Simplify right side
    137,612x = 8,075,603,030.88
  5. Step 5: Solve for x
    x = 8,075,603,030.88/137,612
  6. Step 6: Final answer
    x = 58,683.86

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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.