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Finding the Fourth Proportional to 137,356.85, 206,105.53 and 65,391.08

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Solution

The fourth proportional to 137,356.85, 206,105.53 and 65,391.08 is: 98,120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,356.85 : 206,105.53 = 65,391.08 : x
  2. Step 2: Convert to fraction form
    137,356.85/206,105.53 = 65,391.08/x
  3. Step 3: Cross multiply
    137,356.85x = 206,105.53 × 65,391.08
  4. Step 4: Simplify right side
    137,356.85x = 13,477,463,288.62
  5. Step 5: Solve for x
    x = 13,477,463,288.62/137,356.85
  6. Step 6: Final answer
    x = 98,120.07

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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.