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Finding the Fourth Proportional to 64,800, 89,424 and 34,992

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Solution

The fourth proportional to 64,800, 89,424 and 34,992 is: 48,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,800 : 89,424 = 34,992 : x
  2. Step 2: Convert to fraction form
    64,800/89,424 = 34,992/x
  3. Step 3: Cross multiply
    64,800x = 89,424 × 34,992
  4. Step 4: Simplify right side
    64,800x = 3,129,124,608
  5. Step 5: Solve for x
    x = 3,129,124,608/64,800
  6. Step 6: Final answer
    x = 48,288.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.