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Finding the Fourth Proportional to 85,302.86, 127,949.68 and 26,138.71

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Solution

The fourth proportional to 85,302.86, 127,949.68 and 26,138.71 is: 39,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,302.86 : 127,949.68 = 26,138.71 : x
  2. Step 2: Convert to fraction form
    85,302.86/127,949.68 = 26,138.71/x
  3. Step 3: Cross multiply
    85,302.86x = 127,949.68 × 26,138.71
  4. Step 4: Simplify right side
    85,302.86x = 3,344,439,194.89
  5. Step 5: Solve for x
    x = 3,344,439,194.89/85,302.86
  6. Step 6: Final answer
    x = 39,206.65

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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.