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Finding the Fourth Proportional to 64,564.80, 96,858.12 and 20,182.80

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Solution

The fourth proportional to 64,564.80, 96,858.12 and 20,182.80 is: 30,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,564.80 : 96,858.12 = 20,182.80 : x
  2. Step 2: Convert to fraction form
    64,564.80/96,858.12 = 20,182.80/x
  3. Step 3: Cross multiply
    64,564.80x = 96,858.12 × 20,182.80
  4. Step 4: Simplify right side
    64,564.80x = 1,954,868,064.34
  5. Step 5: Solve for x
    x = 1,954,868,064.34/64,564.80
  6. Step 6: Final answer
    x = 30,277.61

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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.