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Finding the Fourth Proportional to 85,233.80, 127,965.90 and 54,129.80

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Solution

The fourth proportional to 85,233.80, 127,965.90 and 54,129.80 is: 81,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,233.80 : 127,965.90 = 54,129.80 : x
  2. Step 2: Convert to fraction form
    85,233.80/127,965.90 = 54,129.80/x
  3. Step 3: Cross multiply
    85,233.80x = 127,965.90 × 54,129.80
  4. Step 4: Simplify right side
    85,233.80x = 6,926,768,573.82
  5. Step 5: Solve for x
    x = 6,926,768,573.82/85,233.80
  6. Step 6: Final answer
    x = 81,267.86

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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.