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Finding the Fourth Proportional to 119,689.31, 165,172.37 and 65,976.26

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Solution

The fourth proportional to 119,689.31, 165,172.37 and 65,976.26 is: 91,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,689.31 : 165,172.37 = 65,976.26 : x
  2. Step 2: Convert to fraction form
    119,689.31/165,172.37 = 65,976.26/x
  3. Step 3: Cross multiply
    119,689.31x = 165,172.37 × 65,976.26
  4. Step 4: Simplify right side
    119,689.31x = 10,897,454,072.19
  5. Step 5: Solve for x
    x = 10,897,454,072.19/119,689.31
  6. Step 6: Final answer
    x = 91,047.85

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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.