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Finding the Fourth Proportional to 76,889.20, 115,427.40 and 48,809.20

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Solution

The fourth proportional to 76,889.20, 115,427.40 and 48,809.20 is: 73,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,889.20 : 115,427.40 = 48,809.20 : x
  2. Step 2: Convert to fraction form
    76,889.20/115,427.40 = 48,809.20/x
  3. Step 3: Cross multiply
    76,889.20x = 115,427.40 × 48,809.20
  4. Step 4: Simplify right side
    76,889.20x = 5,633,919,052.08
  5. Step 5: Solve for x
    x = 5,633,919,052.08/76,889.20
  6. Step 6: Final answer
    x = 73,273.22

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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.