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Finding the Fourth Proportional to 76,429.80, 114,731.10 and 45,282.60

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Solution

The fourth proportional to 76,429.80, 114,731.10 and 45,282.60 is: 67,975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,429.80 : 114,731.10 = 45,282.60 : x
  2. Step 2: Convert to fraction form
    76,429.80/114,731.10 = 45,282.60/x
  3. Step 3: Cross multiply
    76,429.80x = 114,731.10 × 45,282.60
  4. Step 4: Simplify right side
    76,429.80x = 5,195,322,508.86
  5. Step 5: Solve for x
    x = 5,195,322,508.86/76,429.80
  6. Step 6: Final answer
    x = 67,975.09

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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.