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Finding the Fourth Proportional to 119,932, 165,520.74 and 69,631

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Solution

The fourth proportional to 119,932, 165,520.74 and 69,631 is: 96,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,932 : 165,520.74 = 69,631 : x
  2. Step 2: Convert to fraction form
    119,932/165,520.74 = 69,631/x
  3. Step 3: Cross multiply
    119,932x = 165,520.74 × 69,631
  4. Step 4: Simplify right side
    119,932x = 11,525,374,646.94
  5. Step 5: Solve for x
    x = 11,525,374,646.94/119,932
  6. Step 6: Final answer
    x = 96,099.24

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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.