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Finding the Fourth Proportional to 64,421.49, 96,659.78 and 33,278.61

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Solution

The fourth proportional to 64,421.49, 96,659.78 and 33,278.61 is: 49,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,421.49 : 96,659.78 = 33,278.61 : x
  2. Step 2: Convert to fraction form
    64,421.49/96,659.78 = 33,278.61/x
  3. Step 3: Cross multiply
    64,421.49x = 96,659.78 × 33,278.61
  4. Step 4: Simplify right side
    64,421.49x = 3,216,703,121.31
  5. Step 5: Solve for x
    x = 3,216,703,121.31/64,421.49
  6. Step 6: Final answer
    x = 49,932.14

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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.