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Finding the Fourth Proportional to 75,146, 112,736.28 and 25,898

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Solution

The fourth proportional to 75,146, 112,736.28 and 25,898 is: 38,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,146 : 112,736.28 = 25,898 : x
  2. Step 2: Convert to fraction form
    75,146/112,736.28 = 25,898/x
  3. Step 3: Cross multiply
    75,146x = 112,736.28 × 25,898
  4. Step 4: Simplify right side
    75,146x = 2,919,644,179.44
  5. Step 5: Solve for x
    x = 2,919,644,179.44/75,146
  6. Step 6: Final answer
    x = 38,852.96

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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.