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Finding the Fourth Proportional to 85,169.46, 127,657.31 and 51,816

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Solution

The fourth proportional to 85,169.46, 127,657.31 and 51,816 is: 77,665.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,169.46 : 127,657.31 = 51,816 : x
  2. Step 2: Convert to fraction form
    85,169.46/127,657.31 = 51,816/x
  3. Step 3: Cross multiply
    85,169.46x = 127,657.31 × 51,816
  4. Step 4: Simplify right side
    85,169.46x = 6,614,690,915.88
  5. Step 5: Solve for x
    x = 6,614,690,915.88/85,169.46
  6. Step 6: Final answer
    x = 77,665.06

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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.