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Finding the Fourth Proportional to 123,825.80, 185,738.70 and 118,123.40

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Solution

The fourth proportional to 123,825.80, 185,738.70 and 118,123.40 is: 177,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,825.80 : 185,738.70 = 118,123.40 : x
  2. Step 2: Convert to fraction form
    123,825.80/185,738.70 = 118,123.40/x
  3. Step 3: Cross multiply
    123,825.80x = 185,738.70 × 118,123.40
  4. Step 4: Simplify right side
    123,825.80x = 21,940,086,755.58
  5. Step 5: Solve for x
    x = 21,940,086,755.58/123,825.80
  6. Step 6: Final answer
    x = 177,185.10

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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.