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Finding the Fourth Proportional to 85,135.41, 127,719.86 and 35,188.65

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Solution

The fourth proportional to 85,135.41, 127,719.86 and 35,188.65 is: 52,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,135.41 : 127,719.86 = 35,188.65 : x
  2. Step 2: Convert to fraction form
    85,135.41/127,719.86 = 35,188.65/x
  3. Step 3: Cross multiply
    85,135.41x = 127,719.86 × 35,188.65
  4. Step 4: Simplify right side
    85,135.41x = 4,494,289,275.65
  5. Step 5: Solve for x
    x = 4,494,289,275.65/85,135.41
  6. Step 6: Final answer
    x = 52,789.89

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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.