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Finding the Fourth Proportional to 219,375.75, 328,996.79 and 114,137.31

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Solution

The fourth proportional to 219,375.75, 328,996.79 and 114,137.31 is: 171,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,375.75 : 328,996.79 = 114,137.31 : x
  2. Step 2: Convert to fraction form
    219,375.75/328,996.79 = 114,137.31/x
  3. Step 3: Cross multiply
    219,375.75x = 328,996.79 × 114,137.31
  4. Step 4: Simplify right side
    219,375.75x = 37,550,808,038.55
  5. Step 5: Solve for x
    x = 37,550,808,038.55/219,375.75
  6. Step 6: Final answer
    x = 171,171.19

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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.