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Finding the Fourth Proportional to 85,128.54, 127,540.95 and 51,831.42

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Solution

The fourth proportional to 85,128.54, 127,540.95 and 51,831.42 is: 77,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,128.54 : 127,540.95 = 51,831.42 : x
  2. Step 2: Convert to fraction form
    85,128.54/127,540.95 = 51,831.42/x
  3. Step 3: Cross multiply
    85,128.54x = 127,540.95 × 51,831.42
  4. Step 4: Simplify right side
    85,128.54x = 6,610,628,546.65
  5. Step 5: Solve for x
    x = 6,610,628,546.65/85,128.54
  6. Step 6: Final answer
    x = 77,654.67

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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.