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Finding the Fourth Proportional to 76,410.83, 114,621.30 and 20,250.15

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Solution

The fourth proportional to 76,410.83, 114,621.30 and 20,250.15 is: 30,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,410.83 : 114,621.30 = 20,250.15 : x
  2. Step 2: Convert to fraction form
    76,410.83/114,621.30 = 20,250.15/x
  3. Step 3: Cross multiply
    76,410.83x = 114,621.30 × 20,250.15
  4. Step 4: Simplify right side
    76,410.83x = 2,321,098,518.20
  5. Step 5: Solve for x
    x = 2,321,098,518.20/76,410.83
  6. Step 6: Final answer
    x = 30,376.57

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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.