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Finding the Fourth Proportional to 217,796.25, 326,706.69 and 77,554.89

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Solution

The fourth proportional to 217,796.25, 326,706.69 and 77,554.89 is: 116,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,796.25 : 326,706.69 = 77,554.89 : x
  2. Step 2: Convert to fraction form
    217,796.25/326,706.69 = 77,554.89/x
  3. Step 3: Cross multiply
    217,796.25x = 326,706.69 × 77,554.89
  4. Step 4: Simplify right side
    217,796.25x = 25,337,701,405.21
  5. Step 5: Solve for x
    x = 25,337,701,405.21/217,796.25
  6. Step 6: Final answer
    x = 116,336.72

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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.