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Finding the Fourth Proportional to 209,859.43, 314,834.14 and 67,712.84

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Solution

The fourth proportional to 209,859.43, 314,834.14 and 67,712.84 is: 101,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,859.43 : 314,834.14 = 67,712.84 : x
  2. Step 2: Convert to fraction form
    209,859.43/314,834.14 = 67,712.84/x
  3. Step 3: Cross multiply
    209,859.43x = 314,834.14 × 67,712.84
  4. Step 4: Simplify right side
    209,859.43x = 21,318,312,553.99
  5. Step 5: Solve for x
    x = 21,318,312,553.99/209,859.43
  6. Step 6: Final answer
    x = 101,583.77

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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.