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Finding the Fourth Proportional to 85,195.94, 127,697.04 and 51,842.57

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Solution

The fourth proportional to 85,195.94, 127,697.04 and 51,842.57 is: 77,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,195.94 : 127,697.04 = 51,842.57 : x
  2. Step 2: Convert to fraction form
    85,195.94/127,697.04 = 51,842.57/x
  3. Step 3: Cross multiply
    85,195.94x = 127,697.04 × 51,842.57
  4. Step 4: Simplify right side
    85,195.94x = 6,620,142,096.51
  5. Step 5: Solve for x
    x = 6,620,142,096.51/85,195.94
  6. Step 6: Final answer
    x = 77,704.91

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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.