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Finding the Fourth Proportional to 76,694.52, 115,041.80 and 21,290.52

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Solution

The fourth proportional to 76,694.52, 115,041.80 and 21,290.52 is: 31,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,694.52 : 115,041.80 = 21,290.52 : x
  2. Step 2: Convert to fraction form
    76,694.52/115,041.80 = 21,290.52/x
  3. Step 3: Cross multiply
    76,694.52x = 115,041.80 × 21,290.52
  4. Step 4: Simplify right side
    76,694.52x = 2,449,299,743.74
  5. Step 5: Solve for x
    x = 2,449,299,743.74/76,694.52
  6. Step 6: Final answer
    x = 31,935.79

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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.