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Finding the Fourth Proportional to 219,108.56, 328,699.19 and 76,916.97

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Solution

The fourth proportional to 219,108.56, 328,699.19 and 76,916.97 is: 115,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,108.56 : 328,699.19 = 76,916.97 : x
  2. Step 2: Convert to fraction form
    219,108.56/328,699.19 = 76,916.97/x
  3. Step 3: Cross multiply
    219,108.56x = 328,699.19 × 76,916.97
  4. Step 4: Simplify right side
    219,108.56x = 25,282,545,351.67
  5. Step 5: Solve for x
    x = 25,282,545,351.67/219,108.56
  6. Step 6: Final answer
    x = 115,388.22

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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.