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Finding the Fourth Proportional to 64,138.80, 96,218.73 and 19,765.56

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Solution

The fourth proportional to 64,138.80, 96,218.73 and 19,765.56 is: 29,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138.80 : 96,218.73 = 19,765.56 : x
  2. Step 2: Convert to fraction form
    64,138.80/96,218.73 = 19,765.56/x
  3. Step 3: Cross multiply
    64,138.80x = 96,218.73 × 19,765.56
  4. Step 4: Simplify right side
    64,138.80x = 1,901,817,080.94
  5. Step 5: Solve for x
    x = 1,901,817,080.94/64,138.80
  6. Step 6: Final answer
    x = 29,651.59

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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.