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Finding the Fourth Proportional to 85,141.92, 127,712.51 and 25,977.39

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Solution

The fourth proportional to 85,141.92, 127,712.51 and 25,977.39 is: 38,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,141.92 : 127,712.51 = 25,977.39 : x
  2. Step 2: Convert to fraction form
    85,141.92/127,712.51 = 25,977.39/x
  3. Step 3: Cross multiply
    85,141.92x = 127,712.51 × 25,977.39
  4. Step 4: Simplify right side
    85,141.92x = 3,317,637,680.15
  5. Step 5: Solve for x
    x = 3,317,637,680.15/85,141.92
  6. Step 6: Final answer
    x = 38,965.97

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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.