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Finding the Fourth Proportional to 75,278, 112,917 and 26,030

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Solution

The fourth proportional to 75,278, 112,917 and 26,030 is: 39,045

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,278 : 112,917 = 26,030 : x
  2. Step 2: Convert to fraction form
    75,278/112,917 = 26,030/x
  3. Step 3: Cross multiply
    75,278x = 112,917 × 26,030
  4. Step 4: Simplify right side
    75,278x = 2,939,229,510
  5. Step 5: Solve for x
    x = 2,939,229,510/75,278
  6. Step 6: Final answer
    x = 39,045

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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.