Home / 109,828.80-164,743.20-83,584.80

Finding the Fourth Proportional to 109,828.80, 164,743.20 and 83,584.80

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Solution

The fourth proportional to 109,828.80, 164,743.20 and 83,584.80 is: 125,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,828.80 : 164,743.20 = 83,584.80 : x
  2. Step 2: Convert to fraction form
    109,828.80/164,743.20 = 83,584.80/x
  3. Step 3: Cross multiply
    109,828.80x = 164,743.20 × 83,584.80
  4. Step 4: Simplify right side
    109,828.80x = 13,770,027,423.36
  5. Step 5: Solve for x
    x = 13,770,027,423.36/109,828.80
  6. Step 6: Final answer
    x = 125,377.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.