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Finding the Fourth Proportional to 76,580.40, 114,876.07 and 20,420.22

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Solution

The fourth proportional to 76,580.40, 114,876.07 and 20,420.22 is: 30,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580.40 : 114,876.07 = 20,420.22 : x
  2. Step 2: Convert to fraction form
    76,580.40/114,876.07 = 20,420.22/x
  3. Step 3: Cross multiply
    76,580.40x = 114,876.07 × 20,420.22
  4. Step 4: Simplify right side
    76,580.40x = 2,345,794,470.56
  5. Step 5: Solve for x
    x = 2,345,794,470.56/76,580.40
  6. Step 6: Final answer
    x = 30,631.79

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1.5x scale

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.