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Finding the Fourth Proportional to 219,147.32, 328,735.58 and 76,975.31

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Solution

The fourth proportional to 219,147.32, 328,735.58 and 76,975.31 is: 115,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,147.32 : 328,735.58 = 76,975.31 : x
  2. Step 2: Convert to fraction form
    219,147.32/328,735.58 = 76,975.31/x
  3. Step 3: Cross multiply
    219,147.32x = 328,735.58 × 76,975.31
  4. Step 4: Simplify right side
    219,147.32x = 25,304,523,615.49
  5. Step 5: Solve for x
    x = 25,304,523,615.49/219,147.32
  6. Step 6: Final answer
    x = 115,468.09

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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.