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Finding the Fourth Proportional to 85,758.43, 118,308.91 and 51,747.96

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Solution

The fourth proportional to 85,758.43, 118,308.91 and 51,747.96 is: 71,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,758.43 : 118,308.91 = 51,747.96 : x
  2. Step 2: Convert to fraction form
    85,758.43/118,308.91 = 51,747.96/x
  3. Step 3: Cross multiply
    85,758.43x = 118,308.91 × 51,747.96
  4. Step 4: Simplify right side
    85,758.43x = 6,122,244,742.32
  5. Step 5: Solve for x
    x = 6,122,244,742.32/85,758.43
  6. Step 6: Final answer
    x = 71,389.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.