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Finding the Fourth Proportional to 127,997.40, 192,092.10 and 65,635.80

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Solution

The fourth proportional to 127,997.40, 192,092.10 and 65,635.80 is: 98,502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,997.40 : 192,092.10 = 65,635.80 : x
  2. Step 2: Convert to fraction form
    127,997.40/192,092.10 = 65,635.80/x
  3. Step 3: Cross multiply
    127,997.40x = 192,092.10 × 65,635.80
  4. Step 4: Simplify right side
    127,997.40x = 12,608,118,657.18
  5. Step 5: Solve for x
    x = 12,608,118,657.18/127,997.40
  6. Step 6: Final answer
    x = 98,502.93

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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.