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Finding the Fourth Proportional to 139,873.97, 209,993.85 and 83,051.57

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Solution

The fourth proportional to 139,873.97, 209,993.85 and 83,051.57 is: 124,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,873.97 : 209,993.85 = 83,051.57 : x
  2. Step 2: Convert to fraction form
    139,873.97/209,993.85 = 83,051.57/x
  3. Step 3: Cross multiply
    139,873.97x = 209,993.85 × 83,051.57
  4. Step 4: Simplify right side
    139,873.97x = 17,440,318,932.84
  5. Step 5: Solve for x
    x = 17,440,318,932.84/139,873.97
  6. Step 6: Final answer
    x = 124,685.95

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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.