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Finding the Fourth Proportional to 208,133.80, 312,214.65 and 73,181.71

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Solution

The fourth proportional to 208,133.80, 312,214.65 and 73,181.71 is: 109,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,133.80 : 312,214.65 = 73,181.71 : x
  2. Step 2: Convert to fraction form
    208,133.80/312,214.65 = 73,181.71/x
  3. Step 3: Cross multiply
    208,133.80x = 312,214.65 × 73,181.71
  4. Step 4: Simplify right side
    208,133.80x = 22,848,401,974.05
  5. Step 5: Solve for x
    x = 22,848,401,974.05/208,133.80
  6. Step 6: Final answer
    x = 109,777.47

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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.