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Finding the Fourth Proportional to 76,331.20, 114,496.80 and 20,171.20

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Solution

The fourth proportional to 76,331.20, 114,496.80 and 20,171.20 is: 30,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,331.20 : 114,496.80 = 20,171.20 : x
  2. Step 2: Convert to fraction form
    76,331.20/114,496.80 = 20,171.20/x
  3. Step 3: Cross multiply
    76,331.20x = 114,496.80 × 20,171.20
  4. Step 4: Simplify right side
    76,331.20x = 2,309,537,852.16
  5. Step 5: Solve for x
    x = 2,309,537,852.16/76,331.20
  6. Step 6: Final answer
    x = 30,256.80

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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.