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Finding the Fourth Proportional to 77,861.94, 116,808.30 and 27,928.68

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Solution

The fourth proportional to 77,861.94, 116,808.30 and 27,928.68 is: 41,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,861.94 : 116,808.30 = 27,928.68 : x
  2. Step 2: Convert to fraction form
    77,861.94/116,808.30 = 27,928.68/x
  3. Step 3: Cross multiply
    77,861.94x = 116,808.30 × 27,928.68
  4. Step 4: Simplify right side
    77,861.94x = 3,262,301,632.04
  5. Step 5: Solve for x
    x = 3,262,301,632.04/77,861.94
  6. Step 6: Final answer
    x = 41,898.54

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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.