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Finding the Fourth Proportional to 145,396.92, 217,960.97 and 77,975.82

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Solution

The fourth proportional to 145,396.92, 217,960.97 and 77,975.82 is: 116,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,396.92 : 217,960.97 = 77,975.82 : x
  2. Step 2: Convert to fraction form
    145,396.92/217,960.97 = 77,975.82/x
  3. Step 3: Cross multiply
    145,396.92x = 217,960.97 × 77,975.82
  4. Step 4: Simplify right side
    145,396.92x = 16,995,685,104.41
  5. Step 5: Solve for x
    x = 16,995,685,104.41/145,396.92
  6. Step 6: Final answer
    x = 116,891.65

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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.