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Finding the Fourth Proportional to 77,863.86, 116,832.74 and 40,404

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Solution

The fourth proportional to 77,863.86, 116,832.74 and 40,404 is: 60,625.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,863.86 : 116,832.74 = 40,404 : x
  2. Step 2: Convert to fraction form
    77,863.86/116,832.74 = 40,404/x
  3. Step 3: Cross multiply
    77,863.86x = 116,832.74 × 40,404
  4. Step 4: Simplify right side
    77,863.86x = 4,720,510,026.96
  5. Step 5: Solve for x
    x = 4,720,510,026.96/77,863.86
  6. Step 6: Final answer
    x = 60,625.17

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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.