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Finding the Fourth Proportional to 76,382.16, 114,575.16 and 20,978

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Solution

The fourth proportional to 76,382.16, 114,575.16 and 20,978 is: 31,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,382.16 : 114,575.16 = 20,978 : x
  2. Step 2: Convert to fraction form
    76,382.16/114,575.16 = 20,978/x
  3. Step 3: Cross multiply
    76,382.16x = 114,575.16 × 20,978
  4. Step 4: Simplify right side
    76,382.16x = 2,403,557,706.48
  5. Step 5: Solve for x
    x = 2,403,557,706.48/76,382.16
  6. Step 6: Final answer
    x = 31,467.53

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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.