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Finding the Fourth Proportional to 64,518, 96,777 and 20,742

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Solution

The fourth proportional to 64,518, 96,777 and 20,742 is: 31,113

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,518 : 96,777 = 20,742 : x
  2. Step 2: Convert to fraction form
    64,518/96,777 = 20,742/x
  3. Step 3: Cross multiply
    64,518x = 96,777 × 20,742
  4. Step 4: Simplify right side
    64,518x = 2,007,348,534
  5. Step 5: Solve for x
    x = 2,007,348,534/64,518
  6. Step 6: Final answer
    x = 31,113

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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.