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Finding the Fourth Proportional to 77,558.69, 116,338.46 and 27,640.68

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Solution

The fourth proportional to 77,558.69, 116,338.46 and 27,640.68 is: 41,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,558.69 : 116,338.46 = 27,640.68 : x
  2. Step 2: Convert to fraction form
    77,558.69/116,338.46 = 27,640.68/x
  3. Step 3: Cross multiply
    77,558.69x = 116,338.46 × 27,640.68
  4. Step 4: Simplify right side
    77,558.69x = 3,215,674,006.35
  5. Step 5: Solve for x
    x = 3,215,674,006.35/77,558.69
  6. Step 6: Final answer
    x = 41,461.17

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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.