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Finding the Fourth Proportional to 77,321.58, 115,978.10 and 21,157.66

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Solution

The fourth proportional to 77,321.58, 115,978.10 and 21,157.66 is: 31,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,321.58 : 115,978.10 = 21,157.66 : x
  2. Step 2: Convert to fraction form
    77,321.58/115,978.10 = 21,157.66/x
  3. Step 3: Cross multiply
    77,321.58x = 115,978.10 × 21,157.66
  4. Step 4: Simplify right side
    77,321.58x = 2,453,824,920.24
  5. Step 5: Solve for x
    x = 2,453,824,920.24/77,321.58
  6. Step 6: Final answer
    x = 31,735.32

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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.