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Finding the Fourth Proportional to 76,449.94, 114,666.00 and 20,294.42

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Solution

The fourth proportional to 76,449.94, 114,666.00 and 20,294.42 is: 30,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,449.94 : 114,666.00 = 20,294.42 : x
  2. Step 2: Convert to fraction form
    76,449.94/114,666.00 = 20,294.42/x
  3. Step 3: Cross multiply
    76,449.94x = 114,666.00 × 20,294.42
  4. Step 4: Simplify right side
    76,449.94x = 2,327,079,288.92
  5. Step 5: Solve for x
    x = 2,327,079,288.92/76,449.94
  6. Step 6: Final answer
    x = 30,439.25

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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.