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Finding the Fourth Proportional to 219,796.76, 329,721.58 and 77,612.78

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Solution

The fourth proportional to 219,796.76, 329,721.58 and 77,612.78 is: 116,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,796.76 : 329,721.58 = 77,612.78 : x
  2. Step 2: Convert to fraction form
    219,796.76/329,721.58 = 77,612.78/x
  3. Step 3: Cross multiply
    219,796.76x = 329,721.58 × 77,612.78
  4. Step 4: Simplify right side
    219,796.76x = 25,590,608,449.79
  5. Step 5: Solve for x
    x = 25,590,608,449.79/219,796.76
  6. Step 6: Final answer
    x = 116,428.51

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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.