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Finding the Fourth Proportional to 148,801.82, 205,348.02 and 80,819.45

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Solution

The fourth proportional to 148,801.82, 205,348.02 and 80,819.45 is: 111,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,801.82 : 205,348.02 = 80,819.45 : x
  2. Step 2: Convert to fraction form
    148,801.82/205,348.02 = 80,819.45/x
  3. Step 3: Cross multiply
    148,801.82x = 205,348.02 × 80,819.45
  4. Step 4: Simplify right side
    148,801.82x = 16,596,114,034.99
  5. Step 5: Solve for x
    x = 16,596,114,034.99/148,801.82
  6. Step 6: Final answer
    x = 111,531.66

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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.