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Finding the Fourth Proportional to 149,948.52, 206,929.20 and 82,880.52

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Solution

The fourth proportional to 149,948.52, 206,929.20 and 82,880.52 is: 114,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,948.52 : 206,929.20 = 82,880.52 : x
  2. Step 2: Convert to fraction form
    149,948.52/206,929.20 = 82,880.52/x
  3. Step 3: Cross multiply
    149,948.52x = 206,929.20 × 82,880.52
  4. Step 4: Simplify right side
    149,948.52x = 17,150,399,699.18
  5. Step 5: Solve for x
    x = 17,150,399,699.18/149,948.52
  6. Step 6: Final answer
    x = 114,375.25

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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.