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Finding the Fourth Proportional to 217,143.84, 325,762.56 and 67,380.96

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Solution

The fourth proportional to 217,143.84, 325,762.56 and 67,380.96 is: 101,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,143.84 : 325,762.56 = 67,380.96 : x
  2. Step 2: Convert to fraction form
    217,143.84/325,762.56 = 67,380.96/x
  3. Step 3: Cross multiply
    217,143.84x = 325,762.56 × 67,380.96
  4. Step 4: Simplify right side
    217,143.84x = 21,950,194,024.86
  5. Step 5: Solve for x
    x = 21,950,194,024.86/217,143.84
  6. Step 6: Final answer
    x = 101,085.96

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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.