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Finding the Fourth Proportional to 148,736.75, 205,256.72 and 81,668.75

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Solution

The fourth proportional to 148,736.75, 205,256.72 and 81,668.75 is: 112,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,736.75 : 205,256.72 = 81,668.75 : x
  2. Step 2: Convert to fraction form
    148,736.75/205,256.72 = 81,668.75/x
  3. Step 3: Cross multiply
    148,736.75x = 205,256.72 × 81,668.75
  4. Step 4: Simplify right side
    148,736.75x = 16,763,059,343.16
  5. Step 5: Solve for x
    x = 16,763,059,343.16/148,736.75
  6. Step 6: Final answer
    x = 112,702.88

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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.