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Finding the Fourth Proportional to 139,990.84, 209,651.73 and 76,715.80

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Solution

The fourth proportional to 139,990.84, 209,651.73 and 76,715.80 is: 114,890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,990.84 : 209,651.73 = 76,715.80 : x
  2. Step 2: Convert to fraction form
    139,990.84/209,651.73 = 76,715.80/x
  3. Step 3: Cross multiply
    139,990.84x = 209,651.73 × 76,715.80
  4. Step 4: Simplify right side
    139,990.84x = 16,083,600,188.33
  5. Step 5: Solve for x
    x = 16,083,600,188.33/139,990.84
  6. Step 6: Final answer
    x = 114,890.38

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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.