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Finding the Fourth Proportional to 64,144, 96,215.76 and 17,396.80

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Solution

The fourth proportional to 64,144, 96,215.76 and 17,396.80 is: 26,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,144 : 96,215.76 = 17,396.80 : x
  2. Step 2: Convert to fraction form
    64,144/96,215.76 = 17,396.80/x
  3. Step 3: Cross multiply
    64,144x = 96,215.76 × 17,396.80
  4. Step 4: Simplify right side
    64,144x = 1,673,846,333.57
  5. Step 5: Solve for x
    x = 1,673,846,333.57/64,144
  6. Step 6: Final answer
    x = 26,095.13

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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.