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Finding the Fourth Proportional to 165,951.81, 229,013.16 and 90,500.31

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Solution

The fourth proportional to 165,951.81, 229,013.16 and 90,500.31 is: 124,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,951.81 : 229,013.16 = 90,500.31 : x
  2. Step 2: Convert to fraction form
    165,951.81/229,013.16 = 90,500.31/x
  3. Step 3: Cross multiply
    165,951.81x = 229,013.16 × 90,500.31
  4. Step 4: Simplify right side
    165,951.81x = 20,725,761,974.08
  5. Step 5: Solve for x
    x = 20,725,761,974.08/165,951.81
  6. Step 6: Final answer
    x = 124,890.24

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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.