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Finding the Fourth Proportional to 85,234.40, 127,865.10 and 29,079.80

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Solution

The fourth proportional to 85,234.40, 127,865.10 and 29,079.80 is: 43,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,234.40 : 127,865.10 = 29,079.80 : x
  2. Step 2: Convert to fraction form
    85,234.40/127,865.10 = 29,079.80/x
  3. Step 3: Cross multiply
    85,234.40x = 127,865.10 × 29,079.80
  4. Step 4: Simplify right side
    85,234.40x = 3,718,291,534.98
  5. Step 5: Solve for x
    x = 3,718,291,534.98/85,234.40
  6. Step 6: Final answer
    x = 43,624.31

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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.