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Finding the Fourth Proportional to 209,983.76, 315,007.36 and 67,781.52

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Solution

The fourth proportional to 209,983.76, 315,007.36 and 67,781.52 is: 101,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,983.76 : 315,007.36 = 67,781.52 : x
  2. Step 2: Convert to fraction form
    209,983.76/315,007.36 = 67,781.52/x
  3. Step 3: Cross multiply
    209,983.76x = 315,007.36 × 67,781.52
  4. Step 4: Simplify right side
    209,983.76x = 21,351,677,671.99
  5. Step 5: Solve for x
    x = 21,351,677,671.99/209,983.76
  6. Step 6: Final answer
    x = 101,682.52

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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.