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Finding the Fourth Proportional to 132,761.88, 199,142.84 and 77,319

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Solution

The fourth proportional to 132,761.88, 199,142.84 and 77,319 is: 115,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,761.88 : 199,142.84 = 77,319 : x
  2. Step 2: Convert to fraction form
    132,761.88/199,142.84 = 77,319/x
  3. Step 3: Cross multiply
    132,761.88x = 199,142.84 × 77,319
  4. Step 4: Simplify right side
    132,761.88x = 15,397,525,245.96
  5. Step 5: Solve for x
    x = 15,397,525,245.96/132,761.88
  6. Step 6: Final answer
    x = 115,978.51

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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.