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Finding the Fourth Proportional to 76,884.30, 115,316.88 and 20,728.80

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Solution

The fourth proportional to 76,884.30, 115,316.88 and 20,728.80 is: 31,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,884.30 : 115,316.88 = 20,728.80 : x
  2. Step 2: Convert to fraction form
    76,884.30/115,316.88 = 20,728.80/x
  3. Step 3: Cross multiply
    76,884.30x = 115,316.88 × 20,728.80
  4. Step 4: Simplify right side
    76,884.30x = 2,390,380,542.14
  5. Step 5: Solve for x
    x = 2,390,380,542.14/76,884.30
  6. Step 6: Final answer
    x = 31,090.62

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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.