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Finding the Fourth Proportional to 85,409.14, 127,939.66 and 51,654.62

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Solution

The fourth proportional to 85,409.14, 127,939.66 and 51,654.62 is: 77,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.14 : 127,939.66 = 51,654.62 : x
  2. Step 2: Convert to fraction form
    85,409.14/127,939.66 = 51,654.62/x
  3. Step 3: Cross multiply
    85,409.14x = 127,939.66 × 51,654.62
  4. Step 4: Simplify right side
    85,409.14x = 6,608,674,520.23
  5. Step 5: Solve for x
    x = 6,608,674,520.23/85,409.14
  6. Step 6: Final answer
    x = 77,376.67

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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.