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Finding the Fourth Proportional to 77,866.38, 107,343.63 and 55,471.50

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Solution

The fourth proportional to 77,866.38, 107,343.63 and 55,471.50 is: 76,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866.38 : 107,343.63 = 55,471.50 : x
  2. Step 2: Convert to fraction form
    77,866.38/107,343.63 = 55,471.50/x
  3. Step 3: Cross multiply
    77,866.38x = 107,343.63 × 55,471.50
  4. Step 4: Simplify right side
    77,866.38x = 5,954,512,171.55
  5. Step 5: Solve for x
    x = 5,954,512,171.55/77,866.38
  6. Step 6: Final answer
    x = 76,470.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.