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Finding the Fourth Proportional to 119,684.50, 165,163.92 and 65,236.60

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Solution

The fourth proportional to 119,684.50, 165,163.92 and 65,236.60 is: 90,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,684.50 : 165,163.92 = 65,236.60 : x
  2. Step 2: Convert to fraction form
    119,684.50/165,163.92 = 65,236.60/x
  3. Step 3: Cross multiply
    119,684.50x = 165,163.92 × 65,236.60
  4. Step 4: Simplify right side
    119,684.50x = 10,774,732,583.47
  5. Step 5: Solve for x
    x = 10,774,732,583.47/119,684.50
  6. Step 6: Final answer
    x = 90,026.13

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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.