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Finding the Fourth Proportional to 64,976.32, 97,469.52 and 20,601.76

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Solution

The fourth proportional to 64,976.32, 97,469.52 and 20,601.76 is: 30,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,976.32 : 97,469.52 = 20,601.76 : x
  2. Step 2: Convert to fraction form
    64,976.32/97,469.52 = 20,601.76/x
  3. Step 3: Cross multiply
    64,976.32x = 97,469.52 × 20,601.76
  4. Step 4: Simplify right side
    64,976.32x = 2,008,043,658.36
  5. Step 5: Solve for x
    x = 2,008,043,658.36/64,976.32
  6. Step 6: Final answer
    x = 30,904.24

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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.