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Finding the Fourth Proportional to 118,451, 177,676.50 and 30,899

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Solution

The fourth proportional to 118,451, 177,676.50 and 30,899 is: 46,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,451 : 177,676.50 = 30,899 : x
  2. Step 2: Convert to fraction form
    118,451/177,676.50 = 30,899/x
  3. Step 3: Cross multiply
    118,451x = 177,676.50 × 30,899
  4. Step 4: Simplify right side
    118,451x = 5,490,026,173.50
  5. Step 5: Solve for x
    x = 5,490,026,173.50/118,451
  6. Step 6: Final answer
    x = 46,348.50

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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.