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Finding the Fourth Proportional to 119,620.94, 165,077.34 and 65,904.80

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Solution

The fourth proportional to 119,620.94, 165,077.34 and 65,904.80 is: 90,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,620.94 : 165,077.34 = 65,904.80 : x
  2. Step 2: Convert to fraction form
    119,620.94/165,077.34 = 65,904.80/x
  3. Step 3: Cross multiply
    119,620.94x = 165,077.34 × 65,904.80
  4. Step 4: Simplify right side
    119,620.94x = 10,879,388,251.85
  5. Step 5: Solve for x
    x = 10,879,388,251.85/119,620.94
  6. Step 6: Final answer
    x = 90,948.86

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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.