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Finding the Fourth Proportional to 85,212.66, 127,877.31 and 45,781.86

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Solution

The fourth proportional to 85,212.66, 127,877.31 and 45,781.86 is: 68,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,212.66 : 127,877.31 = 45,781.86 : x
  2. Step 2: Convert to fraction form
    85,212.66/127,877.31 = 45,781.86/x
  3. Step 3: Cross multiply
    85,212.66x = 127,877.31 × 45,781.86
  4. Step 4: Simplify right side
    85,212.66x = 5,854,461,103.60
  5. Step 5: Solve for x
    x = 5,854,461,103.60/85,212.66
  6. Step 6: Final answer
    x = 68,704.12

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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.