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Finding the Fourth Proportional to 76,202.64, 114,313.68 and 31,860

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Solution

The fourth proportional to 76,202.64, 114,313.68 and 31,860 is: 47,794.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.64 : 114,313.68 = 31,860 : x
  2. Step 2: Convert to fraction form
    76,202.64/114,313.68 = 31,860/x
  3. Step 3: Cross multiply
    76,202.64x = 114,313.68 × 31,860
  4. Step 4: Simplify right side
    76,202.64x = 3,642,033,844.80
  5. Step 5: Solve for x
    x = 3,642,033,844.80/76,202.64
  6. Step 6: Final answer
    x = 47,794.06

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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.