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Finding the Fourth Proportional to 76,580.44, 114,876.14 and 20,420.25

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Solution

The fourth proportional to 76,580.44, 114,876.14 and 20,420.25 is: 30,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.44 : 114,876.14 = 20,420.25 : x
  2. Step 2: Convert to fraction form
    76,580.44/114,876.14 = 20,420.25/x
  3. Step 3: Cross multiply
    76,580.44x = 114,876.14 × 20,420.25
  4. Step 4: Simplify right side
    76,580.44x = 2,345,799,395.73
  5. Step 5: Solve for x
    x = 2,345,799,395.73/76,580.44
  6. Step 6: Final answer
    x = 30,631.84

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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.