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Finding the Fourth Proportional to 64,476.81, 96,714.30 and 20,104.00

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Solution

The fourth proportional to 64,476.81, 96,714.30 and 20,104.00 is: 30,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,476.81 : 96,714.30 = 20,104.00 : x
  2. Step 2: Convert to fraction form
    64,476.81/96,714.30 = 20,104.00/x
  3. Step 3: Cross multiply
    64,476.81x = 96,714.30 × 20,104.00
  4. Step 4: Simplify right side
    64,476.81x = 1,944,344,120.80
  5. Step 5: Solve for x
    x = 1,944,344,120.80/64,476.81
  6. Step 6: Final answer
    x = 30,155.71

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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.