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Finding the Fourth Proportional to 119,791.94, 165,312.09 and 65,347.11

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Solution

The fourth proportional to 119,791.94, 165,312.09 and 65,347.11 is: 90,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,791.94 : 165,312.09 = 65,347.11 : x
  2. Step 2: Convert to fraction form
    119,791.94/165,312.09 = 65,347.11/x
  3. Step 3: Cross multiply
    119,791.94x = 165,312.09 × 65,347.11
  4. Step 4: Simplify right side
    119,791.94x = 10,802,667,329.56
  5. Step 5: Solve for x
    x = 10,802,667,329.56/119,791.94
  6. Step 6: Final answer
    x = 90,178.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.