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Finding the Fourth Proportional to 76,376.48, 114,551.52 and 20,217.20

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Solution

The fourth proportional to 76,376.48, 114,551.52 and 20,217.20 is: 30,322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,376.48 : 114,551.52 = 20,217.20 : x
  2. Step 2: Convert to fraction form
    76,376.48/114,551.52 = 20,217.20/x
  3. Step 3: Cross multiply
    76,376.48x = 114,551.52 × 20,217.20
  4. Step 4: Simplify right side
    76,376.48x = 2,315,910,990.14
  5. Step 5: Solve for x
    x = 2,315,910,990.14/76,376.48
  6. Step 6: Final answer
    x = 30,322.31

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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.