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Finding the Fourth Proportional to 76,693.52, 115,040.30 and 21,289.52

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Solution

The fourth proportional to 76,693.52, 115,040.30 and 21,289.52 is: 31,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,693.52 : 115,040.30 = 21,289.52 : x
  2. Step 2: Convert to fraction form
    76,693.52/115,040.30 = 21,289.52/x
  3. Step 3: Cross multiply
    76,693.52x = 115,040.30 × 21,289.52
  4. Step 4: Simplify right side
    76,693.52x = 2,449,152,767.66
  5. Step 5: Solve for x
    x = 2,449,152,767.66/76,693.52
  6. Step 6: Final answer
    x = 31,934.29

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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.