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Finding the Fourth Proportional to 165,640.71, 247,970.20 and 102,257.03

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Solution

The fourth proportional to 165,640.71, 247,970.20 and 102,257.03 is: 153,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,640.71 : 247,970.20 = 102,257.03 : x
  2. Step 2: Convert to fraction form
    165,640.71/247,970.20 = 102,257.03/x
  3. Step 3: Cross multiply
    165,640.71x = 247,970.20 × 102,257.03
  4. Step 4: Simplify right side
    165,640.71x = 25,356,694,940.66
  5. Step 5: Solve for x
    x = 25,356,694,940.66/165,640.71
  6. Step 6: Final answer
    x = 153,082.51

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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.