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Finding the Fourth Proportional to 139,660.86, 209,493.25 and 39,821.06

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Solution

The fourth proportional to 139,660.86, 209,493.25 and 39,821.06 is: 59,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,660.86 : 209,493.25 = 39,821.06 : x
  2. Step 2: Convert to fraction form
    139,660.86/209,493.25 = 39,821.06/x
  3. Step 3: Cross multiply
    139,660.86x = 209,493.25 × 39,821.06
  4. Step 4: Simplify right side
    139,660.86x = 8,342,243,277.85
  5. Step 5: Solve for x
    x = 8,342,243,277.85/139,660.86
  6. Step 6: Final answer
    x = 59,732.15

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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.