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Finding the Fourth Proportional to 209,035.90, 313,463.13 and 75,871.90

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Solution

The fourth proportional to 209,035.90, 313,463.13 and 75,871.90 is: 113,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,035.90 : 313,463.13 = 75,871.90 : x
  2. Step 2: Convert to fraction form
    209,035.90/313,463.13 = 75,871.90/x
  3. Step 3: Cross multiply
    209,035.90x = 313,463.13 × 75,871.90
  4. Step 4: Simplify right side
    209,035.90x = 23,783,043,253.05
  5. Step 5: Solve for x
    x = 23,783,043,253.05/209,035.90
  6. Step 6: Final answer
    x = 113,774.92

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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.