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Finding the Fourth Proportional to 66,102.48, 99,144 and 21,727.44

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Solution

The fourth proportional to 66,102.48, 99,144 and 21,727.44 is: 32,587.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,102.48 : 99,144 = 21,727.44 : x
  2. Step 2: Convert to fraction form
    66,102.48/99,144 = 21,727.44/x
  3. Step 3: Cross multiply
    66,102.48x = 99,144 × 21,727.44
  4. Step 4: Simplify right side
    66,102.48x = 2,154,145,311.36
  5. Step 5: Solve for x
    x = 2,154,145,311.36/66,102.48
  6. Step 6: Final answer
    x = 32,587.97

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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.