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Finding the Fourth Proportional to 75,992.80, 113,816.40 and 47,999.20

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Solution

The fourth proportional to 75,992.80, 113,816.40 and 47,999.20 is: 71,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,992.80 : 113,816.40 = 47,999.20 : x
  2. Step 2: Convert to fraction form
    75,992.80/113,816.40 = 47,999.20/x
  3. Step 3: Cross multiply
    75,992.80x = 113,816.40 × 47,999.20
  4. Step 4: Simplify right side
    75,992.80x = 5,463,096,146.88
  5. Step 5: Solve for x
    x = 5,463,096,146.88/75,992.80
  6. Step 6: Final answer
    x = 71,889.65

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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.