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Finding the Fourth Proportional to 64,309.33, 96,478.34 and 19,936.45

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Solution

The fourth proportional to 64,309.33, 96,478.34 and 19,936.45 is: 29,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,309.33 : 96,478.34 = 19,936.45 : x
  2. Step 2: Convert to fraction form
    64,309.33/96,478.34 = 19,936.45/x
  3. Step 3: Cross multiply
    64,309.33x = 96,478.34 × 19,936.45
  4. Step 4: Simplify right side
    64,309.33x = 1,923,435,601.49
  5. Step 5: Solve for x
    x = 1,923,435,601.49/64,309.33
  6. Step 6: Final answer
    x = 29,909.12

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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.