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Finding the Fourth Proportional to 64,305.81, 96,472.80 and 21,609.72

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Solution

The fourth proportional to 64,305.81, 96,472.80 and 21,609.72 is: 32,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,305.81 : 96,472.80 = 21,609.72 : x
  2. Step 2: Convert to fraction form
    64,305.81/96,472.80 = 21,609.72/x
  3. Step 3: Cross multiply
    64,305.81x = 96,472.80 × 21,609.72
  4. Step 4: Simplify right side
    64,305.81x = 2,084,750,195.62
  5. Step 5: Solve for x
    x = 2,084,750,195.62/64,305.81
  6. Step 6: Final answer
    x = 32,419.31

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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.