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Finding the Fourth Proportional to 77,910.66, 116,800.38 and 31,138.02

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Solution

The fourth proportional to 77,910.66, 116,800.38 and 31,138.02 is: 46,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,910.66 : 116,800.38 = 31,138.02 : x
  2. Step 2: Convert to fraction form
    77,910.66/116,800.38 = 31,138.02/x
  3. Step 3: Cross multiply
    77,910.66x = 116,800.38 × 31,138.02
  4. Step 4: Simplify right side
    77,910.66x = 3,636,932,568.45
  5. Step 5: Solve for x
    x = 3,636,932,568.45/77,910.66
  6. Step 6: Final answer
    x = 46,680.81

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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.