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Finding the Fourth Proportional to 219,100.09, 328,686.46 and 76,908.47

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Solution

The fourth proportional to 219,100.09, 328,686.46 and 76,908.47 is: 115,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,100.09 : 328,686.46 = 76,908.47 : x
  2. Step 2: Convert to fraction form
    219,100.09/328,686.46 = 76,908.47/x
  3. Step 3: Cross multiply
    219,100.09x = 328,686.46 × 76,908.47
  4. Step 4: Simplify right side
    219,100.09x = 25,278,772,363.77
  5. Step 5: Solve for x
    x = 25,278,772,363.77/219,100.09
  6. Step 6: Final answer
    x = 115,375.45

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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.