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Finding the Fourth Proportional to 76,643.82, 114,821.07 and 39,227.59

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Solution

The fourth proportional to 76,643.82, 114,821.07 and 39,227.59 is: 58,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.82 : 114,821.07 = 39,227.59 : x
  2. Step 2: Convert to fraction form
    76,643.82/114,821.07 = 39,227.59/x
  3. Step 3: Cross multiply
    76,643.82x = 114,821.07 × 39,227.59
  4. Step 4: Simplify right side
    76,643.82x = 4,504,153,964.07
  5. Step 5: Solve for x
    x = 4,504,153,964.07/76,643.82
  6. Step 6: Final answer
    x = 58,767.35

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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.