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Finding the Fourth Proportional to 85,126, 127,689 and 26,758

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Solution

The fourth proportional to 85,126, 127,689 and 26,758 is: 40,137

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,126 : 127,689 = 26,758 : x
  2. Step 2: Convert to fraction form
    85,126/127,689 = 26,758/x
  3. Step 3: Cross multiply
    85,126x = 127,689 × 26,758
  4. Step 4: Simplify right side
    85,126x = 3,416,702,262
  5. Step 5: Solve for x
    x = 3,416,702,262/85,126
  6. Step 6: Final answer
    x = 40,137

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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.