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Finding the Fourth Proportional to 209,969.82, 314,981.46 and 76,912.74

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Solution

The fourth proportional to 209,969.82, 314,981.46 and 76,912.74 is: 115,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.82 : 314,981.46 = 76,912.74 : x
  2. Step 2: Convert to fraction form
    209,969.82/314,981.46 = 76,912.74/x
  3. Step 3: Cross multiply
    209,969.82x = 314,981.46 × 76,912.74
  4. Step 4: Simplify right side
    209,969.82x = 24,226,087,137.80
  5. Step 5: Solve for x
    x = 24,226,087,137.80/209,969.82
  6. Step 6: Final answer
    x = 115,378.90

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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.