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Finding the Fourth Proportional to 85,302.93, 127,949.78 and 26,138.77

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Solution

The fourth proportional to 85,302.93, 127,949.78 and 26,138.77 is: 39,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,302.93 : 127,949.78 = 26,138.77 : x
  2. Step 2: Convert to fraction form
    85,302.93/127,949.78 = 26,138.77/x
  3. Step 3: Cross multiply
    85,302.93x = 127,949.78 × 26,138.77
  4. Step 4: Simplify right side
    85,302.93x = 3,344,449,740.28
  5. Step 5: Solve for x
    x = 3,344,449,740.28/85,302.93
  6. Step 6: Final answer
    x = 39,206.74

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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.