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Finding the Fourth Proportional to 64,520, 96,780 and 20,744

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Solution

The fourth proportional to 64,520, 96,780 and 20,744 is: 31,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,520 : 96,780 = 20,744 : x
  2. Step 2: Convert to fraction form
    64,520/96,780 = 20,744/x
  3. Step 3: Cross multiply
    64,520x = 96,780 × 20,744
  4. Step 4: Simplify right side
    64,520x = 2,007,604,320
  5. Step 5: Solve for x
    x = 2,007,604,320/64,520
  6. Step 6: Final answer
    x = 31,116

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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.