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Finding the Fourth Proportional to 85,235.09, 127,832.11 and 26,071.28

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Solution

The fourth proportional to 85,235.09, 127,832.11 and 26,071.28 is: 39,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,235.09 : 127,832.11 = 26,071.28 : x
  2. Step 2: Convert to fraction form
    85,235.09/127,832.11 = 26,071.28/x
  3. Step 3: Cross multiply
    85,235.09x = 127,832.11 × 26,071.28
  4. Step 4: Simplify right side
    85,235.09x = 3,332,746,028.46
  5. Step 5: Solve for x
    x = 3,332,746,028.46/85,235.09
  6. Step 6: Final answer
    x = 39,100.63

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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.