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Finding the Fourth Proportional to 219,168.16, 328,766.96 and 76,996.16

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Solution

The fourth proportional to 219,168.16, 328,766.96 and 76,996.16 is: 115,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,168.16 : 328,766.96 = 76,996.16 : x
  2. Step 2: Convert to fraction form
    219,168.16/328,766.96 = 76,996.16/x
  3. Step 3: Cross multiply
    219,168.16x = 328,766.96 × 76,996.16
  4. Step 4: Simplify right side
    219,168.16x = 25,313,793,454.87
  5. Step 5: Solve for x
    x = 25,313,793,454.87/219,168.16
  6. Step 6: Final answer
    x = 115,499.41

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1.5x scale

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.