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Finding the Fourth Proportional to 119,689.22, 165,172.26 and 65,976.32

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Solution

The fourth proportional to 119,689.22, 165,172.26 and 65,976.32 is: 91,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,689.22 : 165,172.26 = 65,976.32 : x
  2. Step 2: Convert to fraction form
    119,689.22/165,172.26 = 65,976.32/x
  3. Step 3: Cross multiply
    119,689.22x = 165,172.26 × 65,976.32
  4. Step 4: Simplify right side
    119,689.22x = 10,897,457,880.88
  5. Step 5: Solve for x
    x = 10,897,457,880.88/119,689.22
  6. Step 6: Final answer
    x = 91,047.95

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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.