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Finding the Fourth Proportional to 137,401.70, 206,102.55 and 113,782.10

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Solution

The fourth proportional to 137,401.70, 206,102.55 and 113,782.10 is: 170,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,401.70 : 206,102.55 = 113,782.10 : x
  2. Step 2: Convert to fraction form
    137,401.70/206,102.55 = 113,782.10/x
  3. Step 3: Cross multiply
    137,401.70x = 206,102.55 × 113,782.10
  4. Step 4: Simplify right side
    137,401.70x = 23,450,780,954.36
  5. Step 5: Solve for x
    x = 23,450,780,954.36/137,401.70
  6. Step 6: Final answer
    x = 170,673.15

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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.