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Finding the Fourth Proportional to 119,922.50, 165,512.50 and 69,650.66

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Solution

The fourth proportional to 119,922.50, 165,512.50 and 69,650.66 is: 96,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,922.50 : 165,512.50 = 69,650.66 : x
  2. Step 2: Convert to fraction form
    119,922.50/165,512.50 = 69,650.66/x
  3. Step 3: Cross multiply
    119,922.50x = 165,512.50 × 69,650.66
  4. Step 4: Simplify right side
    119,922.50x = 11,528,054,863.25
  5. Step 5: Solve for x
    x = 11,528,054,863.25/119,922.50
  6. Step 6: Final answer
    x = 96,129.21

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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.