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Finding the Fourth Proportional to 85,147.82, 127,721.64 and 40,158.68

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Solution

The fourth proportional to 85,147.82, 127,721.64 and 40,158.68 is: 60,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,147.82 : 127,721.64 = 40,158.68 : x
  2. Step 2: Convert to fraction form
    85,147.82/127,721.64 = 40,158.68/x
  3. Step 3: Cross multiply
    85,147.82x = 127,721.64 × 40,158.68
  4. Step 4: Simplify right side
    85,147.82x = 5,129,131,831.23
  5. Step 5: Solve for x
    x = 5,129,131,831.23/85,147.82
  6. Step 6: Final answer
    x = 60,237.97

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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.