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Finding the Fourth Proportional to 144,665.74, 216,791.83 and 81,352.97

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Solution

The fourth proportional to 144,665.74, 216,791.83 and 81,352.97 is: 121,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,665.74 : 216,791.83 = 81,352.97 : x
  2. Step 2: Convert to fraction form
    144,665.74/216,791.83 = 81,352.97/x
  3. Step 3: Cross multiply
    144,665.74x = 216,791.83 × 81,352.97
  4. Step 4: Simplify right side
    144,665.74x = 17,636,659,072.94
  5. Step 5: Solve for x
    x = 17,636,659,072.94/144,665.74
  6. Step 6: Final answer
    x = 121,913.17

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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.