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Finding the Fourth Proportional to 75,330, 112,995 and 26,082

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Solution

The fourth proportional to 75,330, 112,995 and 26,082 is: 39,123

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 112,995 = 26,082 : x
  2. Step 2: Convert to fraction form
    75,330/112,995 = 26,082/x
  3. Step 3: Cross multiply
    75,330x = 112,995 × 26,082
  4. Step 4: Simplify right side
    75,330x = 2,947,135,590
  5. Step 5: Solve for x
    x = 2,947,135,590/75,330
  6. Step 6: Final answer
    x = 39,123

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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.