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Finding the Fourth Proportional to 77,676.50, 116,264.15 and 40,184.94

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Solution

The fourth proportional to 77,676.50, 116,264.15 and 40,184.94 is: 60,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676.50 : 116,264.15 = 40,184.94 : x
  2. Step 2: Convert to fraction form
    77,676.50/116,264.15 = 40,184.94/x
  3. Step 3: Cross multiply
    77,676.50x = 116,264.15 × 40,184.94
  4. Step 4: Simplify right side
    77,676.50x = 4,672,067,690.98
  5. Step 5: Solve for x
    x = 4,672,067,690.98/77,676.50
  6. Step 6: Final answer
    x = 60,147.77

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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.