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Finding the Fourth Proportional to 209,359.88, 314,092.43 and 67,217.87

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Solution

The fourth proportional to 209,359.88, 314,092.43 and 67,217.87 is: 100,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,359.88 : 314,092.43 = 67,217.87 : x
  2. Step 2: Convert to fraction form
    209,359.88/314,092.43 = 67,217.87/x
  3. Step 3: Cross multiply
    209,359.88x = 314,092.43 × 67,217.87
  4. Step 4: Simplify right side
    209,359.88x = 21,112,624,127.72
  5. Step 5: Solve for x
    x = 21,112,624,127.72/209,359.88
  6. Step 6: Final answer
    x = 100,843.70

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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.