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Finding the Fourth Proportional to 76,643.24, 114,964.90 and 21,239.24

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Solution

The fourth proportional to 76,643.24, 114,964.90 and 21,239.24 is: 31,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.24 : 114,964.90 = 21,239.24 : x
  2. Step 2: Convert to fraction form
    76,643.24/114,964.90 = 21,239.24/x
  3. Step 3: Cross multiply
    76,643.24x = 114,964.90 × 21,239.24
  4. Step 4: Simplify right side
    76,643.24x = 2,441,767,102.68
  5. Step 5: Solve for x
    x = 2,441,767,102.68/76,643.24
  6. Step 6: Final answer
    x = 31,858.87

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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.